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Pythagorean Theorem
5-18-09IMP3Sia
Today’s AgendaBell RingerHand back HW16 and quizzesPythagorean Theorem reviewHW4 p. 75 due Friday, May 22nd
AnnouncementsIf you missed last week’s quiz, you have until this
Friday, 5-22-09 to make them up!HW Hall this Tuesday and Thursday during 9th periodACT session Friday, May 30th in room 208 from 8am-
10am# of students who completed HW16
3rd period: 13 out of 24 (54%) 4th period: 8 out of 17 (47%) 5th period: 8 out of 18 (44%)
Current grades: 3rd period: 3 A’s, 9 F’s 4th period: 2 A’s, 3 F’s 5th period: 3 A’s, 7 F’s
HW16 p. 1051. 250,000/300 boxes2. 200 meters3. No, a 30 feet board won’t be long enough
because the diameter of the pond is about 31.83 feet.
4. The banner should be about 60.03 feet long.
What we’ve done so far…THE BASICS: lines,
rays, segments, points, angles, triangles
CIRCLES: radius, diameter, area, circumference,
This week…RIGHT
TRIANGLES: right angles, legs, hypotenuse, Pythagorean Theorem, special angles
Pythagorean TheoremThe Pythagorean Theorem helps you find
missing sides of right triangles.PT is used in:
PhysicsConstructionPlumbingEngineeringArchitecture
Right TrianglesPythagorean Theorem only applies to right
triangles.You must be able to first identify parts of a
right triangle to correctly use Pythagorean Theorem.
Pythagorean Theorem The theorem states
that the squares of the lengths of the sides of the triangle are equal to the square of the hypotenuse.
The legs are a and b (it doesn’t matter which leg is a or b).
The hypotenuse is ALWAYS c.
Using the Pythagorean Theorem There is a building with a 12 ft high
window. You want to use a ladder to go up to the window, and you decide to keep the ladder 5 ft away from the building to have a good slant. How long should the ladder be?
1. Draw a picture and label a, b, and c.2. Write the Pythagorean Theorem. a2 + b2
= c2
3. Plug in a, b, and c. 52 + 122 = c2
4. Solve for the missing variable. 5. Check that you’ve solved for the missing
variable, NOT THE MISSING VARIABLE SQUARED.
ca
b
Try this on your own…On a baseball diamond the bases are 90 ft
apart. What is the distance from home plate to second base in a straight line?
Follow the steps you just wrote down.
a2 + b2 = c2
902 + 902 = c2
8100 + 8100 = 16200 = c2
127.28 = c