13

7.3 Use Similar Right Triangles

7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Download PDF Report

Upload
others
View
2
Download
0

Embed Size (px)

Citation preview

Page 1: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

7.3 Use Similar Right Triangles

Page 2: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Page 3: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Page 4: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Page 5: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

IF YOU KNOW ALL THREE SIDES OF BIG TRIANGLE AND NEED TO FIND ALTITUDE

Page 6: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Page 7: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

IF HYPOTENUSE IS BROKEN INTO TWO SEGMENTS AND AN ALTITUDE

Page 8: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Page 9: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Page 10: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

IF HYPOTENUSE IS BROKEN INTO TWO SEGEMENTS AND A LEG

Page 11: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Page 12: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Pythagorean Theorem Proof

A

C

B

Page 13: 7.3 Use Similar Right Triangles€¦ · In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments. The length Of each leg Of

Hwk p. 453 (3-‐7,13-‐25, all odds)

· The Pythagorean Theorem Goal: Use the Pythagorean theorem to solve problems. Vocabulary In a right triangle, the hypotenuse is the side Hypotenuse:

· The Pythagorean Theorem Goal: Use the Pythagorean theorem to solve problems. Vocabulary In a right triangle, the hypotenuse is the side Hypotenuse:

Documents

The Pythagorean Theorem A 2 + B 2 = C 2. The Pythagorean Theorem Leg A Leg B Hypotenuse Parts of a Right Triangle

The Pythagorean Theorem A 2 + B 2 = C 2. The Pythagorean Theorem Leg A Leg B Hypotenuse Parts of a Right Triangle

Documents

9.1 – Similar Right Triangles. Theorem 9.1: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar

9.1 – Similar Right Triangles. Theorem 9.1: If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar

Documents

Warm-Up Exercises EXAMPLE 1 Find hypotenuse length in a 45-45-90 triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8=

Warm-Up Exercises EXAMPLE 1 Find hypotenuse length in a 45-45-90 triangle o o o Find the length of the hypotenuse. a. SOLUTION hypotenuse = leg 2 = 8=

Documents

Find the hypotenuse in a right triangle with legs a = 3 and b = 4. 55 Exercise

Find the hypotenuse in a right triangle with legs a = 3 and b = 4. 55 Exercise

Documents

THE HYPOTENUSE: THE PATHWAY OF PEACE

THE HYPOTENUSE: THE PATHWAY OF PEACE

Documents

Apply the Pythagorean Theorem Chapter 7.1. Sides of a Right Triangle Hypotenuse – the side of a right triangle opposite the right angle and the longest

Apply the Pythagorean Theorem Chapter 7.1. Sides of a Right Triangle Hypotenuse – the side of a right triangle opposite the right angle and the longest

Documents

Review May 16, 2008. Right Triangles The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the

Review May 16, 2008. Right Triangles The altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the

Documents

State and prove the Basic Proportionality theorem. In the ... · Prove that “If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse

State and prove the Basic Proportionality theorem. In the ... · Prove that “If a perpendicular is drawn from the vertex of the right angle of a right triangle to the hypotenuse

Documents

(leg1 + (leg = hypotenuse - West Contra Costa Unified ... we have a right triangle and one missing side, we can use the Pythagorean Theorem to find the hypotenuse. ... 3 10 10 3 100

(leg1 + (leg = hypotenuse - West Contra Costa Unified ... we have a right triangle and one missing side, we can use the Pythagorean Theorem to find the hypotenuse. ... 3 10 10 3 100

Documents

MAFS.912.G-SRT.2.5 Use congruence aiteria to solve ......Oct 26, 2018 · Theorem 4-6 Hypotenuse-Leg (HI) Theorem Theorem If the hypotenuse and a leg of one right triangle are congruent

MAFS.912.G-SRT.2.5 Use congruence aiteria to solve ......Oct 26, 2018 · Theorem 4-6 Hypotenuse-Leg (HI) Theorem Theorem If the hypotenuse and a leg of one right triangle are congruent

Documents

10.1 Similar Right Triangles Learning Objective: To recognize relationships among the triangles formed by the altitude to the hypotenuse of right triangle,

10.1 Similar Right Triangles Learning Objective: To recognize relationships among the triangles formed by the altitude to the hypotenuse of right triangle,

Documents

One right angle Two acute angles hypotenuse leg leg² + leg² = hypotenuse² Acute angles are complementary

One right angle Two acute angles hypotenuse leg leg² + leg² = hypotenuse² Acute angles are complementary

Documents

By: PATRIES NAGBE nextbackhome. What is a right triangle ? What is a right triangle ? What are the parts of a right triangle ? What is a hypotenuse

By: PATRIES NAGBE nextbackhome. What is a right triangle ? What is a right triangle ? What are the parts of a right triangle ? What is a hypotenuse

Documents

10.5 – The Pythagorean Theorem. leg legleg hypotenuse hypotenuse leg legleg

10.5 – The Pythagorean Theorem. leg legleg hypotenuse hypotenuse leg legleg

Documents

Use Similar Right Triangles Ch 7.3. Similar Right Triangle Theorem If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles

Use Similar Right Triangles Ch 7.3. Similar Right Triangle Theorem If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles

Documents

Lesson 7-1 Geometric Means Theorem 7.1 If the altitude is drawn from the vertex of the right angle of a right triangle to its hypotenuse, then the two

Lesson 7-1 Geometric Means Theorem 7.1 If the altitude is drawn from the vertex of the right angle of a right triangle to its hypotenuse, then the two

Documents

Geometry Formulas · Geometry Formulas . 3.1. Right Triangle Area of a right triangle= bh Perimeter of a right triangle = a+b+c Pythagoras Theorem = Hypotenuse

Geometry Formulas · Geometry Formulas . 3.1. Right Triangle Area of a right triangle= bh Perimeter of a right triangle = a+b+c Pythagoras Theorem = Hypotenuse

Documents

Pythagorean Theorem. Right Triangle Hypotenuse Legs Pythagorean Theorem Radical/Radicand Square Root VOCABULARY

Pythagorean Theorem. Right Triangle Hypotenuse Legs Pythagorean Theorem Radical/Radicand Square Root VOCABULARY

Documents

Guest Lecture Friday - sarahspolaor.faculty.wvu.edu · SOH CAH TOA! For right triangles… adjacent opposite tan hypotenuse adjacent cos hypotenuse opposite sin = = = θ θ sθ o

Guest Lecture Friday - sarahspolaor.faculty.wvu.edu · SOH CAH TOA! For right triangles… adjacent opposite tan hypotenuse adjacent cos hypotenuse opposite sin = = = θ θ sθ o

Documents

Chapter 8 Trigonometry of the Right Triangle - hufsd.edu · EXAMPLE 2 The hypotenuse of a right triangle is 36.0 ... The altitude to the base of a triangle measures 17.6 meters.The

Chapter 8 Trigonometry of the Right Triangle - hufsd.edu · EXAMPLE 2 The hypotenuse of a right triangle is 36.0 ... The altitude to the base of a triangle measures 17.6 meters.The

Documents

Chapter 4 Test Review The length of the hypotenuse of a right triangle if the legs are 10 feet and 14 feet long

Chapter 4 Test Review The length of the hypotenuse of a right triangle if the legs are 10 feet and 14 feet long

Documents

R I A N G L E. hypotenuse leg In a right triangle, the shorter sides are called legs and the longest side (which is the one opposite the right angle)

R I A N G L E. hypotenuse leg In a right triangle, the shorter sides are called legs and the longest side (which is the one opposite the right angle)

Documents

In right triangle ABC, CD is the altitude to the ... · In right triangle ABC, the length of altitude CD to hypotenuse AB is 12. If the length of the longer segment of the hypotenuse

In right triangle ABC, CD is the altitude to the ... · In right triangle ABC, the length of altitude CD to hypotenuse AB is 12. If the length of the longer segment of the hypotenuse

Documents

Homework - Team Legacyihlegacy.weebly.com/.../2/2/6/3/22638828/unit_5_homework.pdfUnit 5 Homework Page 8 Special Right Triangles short leg long hypotenuse long leg hypotenuse legs

Homework - Team Legacyihlegacy.weebly.com/.../2/2/6/3/22638828/unit_5_homework.pdfUnit 5 Homework Page 8 Special Right Triangles short leg long hypotenuse long leg hypotenuse legs

Documents

Chapter 2 Trigonometry. § 2.1 The Tangent Ratio TOA x Hypotenuse (h) Opposite (o) Adjacent (a) x Hypotenuse (h) Opposite (o) Adjacent (a) Hypotenuse

Chapter 2 Trigonometry. § 2.1 The Tangent Ratio TOA x Hypotenuse (h) Opposite (o) Adjacent (a) x Hypotenuse (h) Opposite (o) Adjacent (a) Hypotenuse

Documents

Vocabulary - KTL MATH CLASSESktlmathclass.weebly.com/.../25760552/hsm12cc_a1_10_01_cm.pdfThe hypotenuse is the longest side in a right triangle. 4. The hypotenuse of the triangle at

Vocabulary - KTL MATH CLASSESktlmathclass.weebly.com/.../25760552/hsm12cc_a1_10_01_cm.pdfThe hypotenuse is the longest side in a right triangle. 4. The hypotenuse of the triangle at

Documents

Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle

Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite the right angle

Documents

Sec 6.6 Pythagorean Theorem. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite

Sec 6.6 Pythagorean Theorem. Objective- To solve problems involving the Pythagorean Theorem. For Right Triangles Only! leg hypotenuse - always opposite

Documents

Trigonometry Prerequisite: Special Right Triangles ... · Hypotenuse 2n Hypotenuse = 2 * Short Leg Long Leg = Leg * Find the value of x and y in each triangle. ... Find the length

Trigonometry Prerequisite: Special Right Triangles ... · Hypotenuse 2n Hypotenuse = 2 * Short Leg Long Leg = Leg * Find the value of x and y in each triangle. ... Find the length

Documents