Looking For Pythagoras

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Looking For Pythagoras. 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. a 2 + b 2 = c 2 8 2 + 6 2 = c 2 64 + 36 = c 2

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Looking For Pythagoras

• 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