Pythagorean Theorem Practice, Practice, Practice!.

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Presentation transcript:

Pythagorean Theorem Practice, Practice, Practice!

Practice, Practice, Practice!

Practice the Pythagorean Theorem The base of a ladder is placed 6 feet from a wall. If the top of the ladder rests 8 feet up on the wall, how long is the ladder? ? feet 8 feet a2 + b2 = c2 82 + 62 = c2 64 + 36 = c2 100 = c2 10 = c 6 feet The length of the ladder is 10 feet.

Practice the Pythagorean Theorem Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV? ? inches 25 inches 20 inches a2 + b2 = c2 202 + b2 = 252 400 + b2 = 625 b2 = 225 b = 15 The width of the TV is 15 inches.

Practice the Pythagorean Theorem Town A is 9 miles north of Town B. Town C is 12 miles east of Town A. A road connects towns B and C directly. Find the length of this road. Town C Town A 12 miles 9 miles ? miles Town B a2 + b2 = c2 92 + 122 = c2 81 + 144 = c2 225 = c2 15 = c The length of the road is 15 miles.

Practice the Pythagorean Theorem If the legs of an isosceles right triangle are 5 inches long, find the length of the hypotenuse. 5 inches 5 inches ? inches a2 + b2 = c2 52 + 52 = c2 25 + 25 = c2 50 = c2 The hypotenuse is 𝟓𝟎 inches long. It is between 7 and 8 inches, and ≈7.1 inches.