Is it a right triangle?
Find the Hypotenuse
Find the Leg
Dividing Radicals
Simplifying Radicals
100

A triangle with sides 3, 4, 5?

Yes

100

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

5 in.

100

A triangle with sides of 3 and 5

4

100

1/√12

√3/6

100

√18

3√2

200

A triangle with sides 3, 6, 8?

No

200

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

10

200

Triangle with leg 8 and hypotenuse 10

6

200

√5/√2

√10/2

200

√68

2√17

300

A triangle with sides 9, 12, 14?

NO

300

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

13

300

Triangle with leg 9 and hypotenuse 15

12

300

5/√20

√5/2

300

√132

2√33

400

A triangle with sides 5, 12, 13?

Yes 

400

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

15

400

Triangle with hypotenuse 20 and leg 16

12

400

20/√5

4√5

400

√720

12√5

500

Is the triangle with sides 12, 16, and 20 Right?

Yes 

500

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

20

500

Triangle with side leg 12 and hypotenuse 13.

5

500

4√2/3√5

4√10/15

500

√500

10√5