Pythagorean Theorem

History

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:

Pythagorean Theorem can ONLY be used with right triangles.

True

400

True or False: 

Pythagorean Theorem can be used with isosceles triangles.

False

500

What is the name of the man that the Pythagorean theorem is named after?

Pythagoras

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

find the missing hypotenuse for the triangle with sides 5 and 12

13

400

Find the missing hypotenuse for the triangle has sides 9 and 12

15

500

Find the missing hypotenuse for the triangle with sides 12 and 16

20

Find the leg

100

Triangle where a is 3 and hypotenuse is 10. What is the length of b?

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?

What is 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