Squares
Square Roots
Find Hypotenuse
Find Leg
By the "c" side
100

12

1

100

√16

4

100

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

10

100

Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=3 and c=5

a=4

100

Which measurement is the "c" side?

a lifeguard's chair has a ladder that extends 3 feet out from the base. The chair is 4 feet high and the steps travel diagonally 5 ft. 

the steps (5ft) / diagonal

200

62

36

200

√225

15
200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.

13

200

Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=5 and c=13

a=12

200

Which measurement is the "c" side?

A private beach has a gate with a crossbeam 7ft for support. The beams going up measure 4ft and the across they measure 5.83ft. 

7ft (the longest side)

300

(-3)2

9

300

√-9

imaginary (3i)

300

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.

15

300

Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with a=15 and c=17

b=8

300

Pythagorean Theorem can ONLY be used with _________________.

Right triangles

400

1.42

1.96

400

√625

25

400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 8 and 15.

17

400

Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=20

a=16

400

Which measurement is the hypotenuse?

7.07, 10, 7.07

10

500

.212

.0441

500

√3600

60

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.

20

500

Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=15

a = 9

500

Which measurement is the hypotenuse?

28, 27, 7.416

28