Pythagorean Theorem REVIEW

History or Is it a right triangle?

100

In the Pythagorean theorem a²+b² = c² , what are a and b called? 

Legs

200

In the Pythagorean theorem a² + b² = c², what is "c" called?

The Hypotenuse

300

True or False:

If the sides of a triangle measure 24, 7 and 25, is the triangle a right triangle?

YES

400

True or False: 

If the sides of a triangle measure 12, 35 and 21, is the triangle a right triangle?

NO

500

If the sides of a triangle measure 17, 15 and 8, is the triangle a right triangle?

YES

Which is the hypotenuse?

100

A triangle with sides of 3, 4, and 5

5

200

Triangle with sides 9, 12, and 15

15

300

Triangle with sides 28, 100, or 96

100

400

Triangle with sides 114, 28, and 96

114

500

Triangle with sides 156, 60, and 144

156

Find the hypotenuse

100

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle with legs 3 and 4 inches long

5 inches

200

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle whose legs are 6 and 8.

10

300

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle with sides 5 and 12

13

400

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle has sides 9 and 12

15

500

Use the Pythagorean theorem a² + b² = c² to find the missing hypotenuse for the triangle with sides 12 and 16

20

Find the leg

100

Triangle with a leg of 3 and hypotenuse of 10. What is the length of the other leg?

4

200

Triangle with a leg 8 and hypotenuse of 10. What is the length of the other leg?

6

300

Triangle with a leg 9 and hypotenuse of 15. What is the length of the other leg?

12

400

Triangle with a leg of 16 and a hypotenuse of 20. What is the length of the other leg?

12

500

Triangle with side leg of 12 and hypotenuse of 13. What is the length of the other leg?

5

Word Problems

100

Frank wants to make a model pyramid. If the legs are 15 in and 11 in, then what is the slant of the pyramid?

18.6 in

200

If a 35 inch TV screen is 26 inches long, how tall is the screen?

23 inches

300

A 13 foot ladder is leaning against a building. The base of the ladder is 5 feet from the building. How high on the building is the ladder?

12 feet

400

Francis is making a model airplane and is making the wings. What is the perimeter the wings will be if the hypotenuse is 36 cm and one leg is 14 cm?

P=83.17cm

500

Francis is making a model airplane and is making the wings. What is the area the wings will be if the hypotenuse is 36 cm and one leg is 14 cm?

A=232.19cm²