Pythagorean Theorem

Hypotenuse

100

A right triangle has leg lengths of 3 feet and 4 feet. What is the length of the hypotenuse?

5 feet

200

A right triangle has leg lengths of 5 cm and 12 cm. What is the length of the hypotenuse?

13 cm

300

True or False: All triangles have legs and a hypotenuse.

False. Only right triangles.

400

True or False: If a right triangle has leg lengths of 6 and 7, then the hypotenuse has a length of 85.

False. You need to take the square root of 85.

500

A right triangle has leg lengths of 9 and 4. How long is the hypotenuse?

square root of 117 = 10.82

Legs

100

How many legs does a right triangle have?

2

200

A right triangle has a leg length of 7 and a hypotenuse length of 25. What is the missing leg length?

24

300

If a hypotenuse has a length of 17 and leg has a length of 15, what is the length of the other leg?

8

400

The area of the square on the leg of a right triangle is 745. What is the length of the leg?

Square root of 745= 27.29

500

A right triangle has a leg of 5 and a hypotenuse of 13.  What is the length of the other leg?

12

abc's

100

What is the Pythagorean Theorem? Draw a triangle and label with the letters.

a^2 + b^2 = c^2

200

Could these side lengths make a right triangle? 9, 40, 41

yes. 81 + 1600 = 1681

300

a = 8, b = 10 What is c?

64 + 100 = 164 c = square root of 164

400

a = 3, c = 9 What is b?

9 + ? = 81 ? = 72 b = square root of 72

500

True or false: if c = 9, then a^2 + b^2 = 9.

False. a^2+b^2=c^2; so it would equal 81