Take out spiral notebook so I can check last nights homework while you do your warm up.

Warm Up: complete back side of yellow notes from yesterday: (periscope question). Then write down the cube roots from 1-10 below the question

Homework: textbook 7.3 pg 304 #1,3-7,9-11 Show ALL steps!

Grade lesson from last night

The Pythagorean Theorem

Pythagorean Theorem

leg

hypotenuse

Vocabulary

7.3 Learn to use the Pythagorean Theorem and its converse to solve problems.

Pythagoras was born on the Aegean island of Samos. He is best known for the Pythagorean Theorem, which relates the side lengths of a right triangle.

Ex 1 : find the missing hypotenuse

12 cm

16 cma2 + b2 = c2

c

122 + 162 = c2 144 + 256 = c2

400 = c2

The length of the hypotenuse is 20 cm.

Use the Pythagorean Theorem. Substitute for a and b.Evaluate the powers.Add.Take the square root of both sides.

20 = c√400 = √c2

4

5

c

6.40 c

a2 + b2 = c2

42 + 52 = c2

16 + 25 = c2

41 = c

Ex 2: Finding the Hypotenuse

41 = c2

Example 3: Finding the Length of a Leg

25

7

b

b = 24

a2 + b2 = c2

72 + b2 = 252

49 + b2 = 625–49 –49

b2 = 576

a2 + b2 = c2

112 + 72 = c2

121 + 49 = c2

170 = c2

13 ≈ c Find the positive square root.

Substitute for a and b.Pythagorean Theorem

The two birds are approximately _____miles apart.

Two birds leave the same spot at the same time. The first bird flies to his nest 11 miles south, while the other bird flies to his nest 7 miles west. How far apart are the two birds after they reach their nests?

Simplify powers.

Add.

Each rectangular section of a fence is braced by a board nailed on the diagonal of the section. The fence is 6 ft tall and the brace is 10 ft long. What is the length of the section? 8 ft

A rectangular field measures 11 feet by 60 feet. What is the length of the irrigation pipe that has to be placed along the diagonal of the field?

A. 11 ft

B. 12 ft

C. 60 ft

D. 61 ft

On your own practice: white boardAfter I check it, begin your homework silently

1. The square root is between two integers. Name the integers. Explain your answer.

2. Is the rational number a reasonable approximation of the square root? Explain

3. Is the following # rational or irrational. Explain

55

84

21