Pythagorean Theorem

Basic Equations

100

3²+4²=c²

C=?

C=5

200

5²+b²=13²

B=?

B=12

300

6²+b²=10²

B=?

B=8

400

8²+15²=c²

C=?

C=17

500

8²+b²=17²

B=?

B=15

Word Problems

100

A ladder is leaning against a wall. The bottom of the ladder is 3 feet away from the wall, and the ladder reaches 4 feet up the wall. How long is the ladder?

The ladder is 5 feet long

200

A right triangle has one leg that is 6 meters long and a hypotenuse that is 10 meters long. How long is the other leg?

The other leg is 8 meters long.

300

The diagonal of a rectangular TV screen is 15 inches. If the height of the screen is 9 inches, what is the width of the screen?

The width of the screen is 12 inches.

400

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

The hypotenuse is 13 cm long.

500

A ladder is leading against the wall. The bottom of the ladder is 7 feet away from the wall, and the ladder reaches up 24 feet the wall. How long is the ladder?

The ladder is 25 feet long.

Comprehension

100

What part of a triangle is the hypotenuse?

The longest side, or C. 

200

What part of a triangle is the legs?

The shorter sides, or A and B.

300

What shapes can use the Pythagorean Theorem?

Triangles, rectangles, squares, and cones.

400

Can you find the legs and hypotenuse of a non-right triangle?

yes

500

What angle does a right triangle always make?

90 degree