Question

Which triangle side lengths form a right triangle? Choose all that apply.

A. 5,6,7

B. 6,8,14

C. 8,15,17

D. 10,12,15

E. 15,20,25

F. 16,18,20​

Answer 1

C and E are right triangles

To figure this out, use the Pythagorean Theorem.

a^2+b^2=c^2

A. 5,6,7

5^2+6^2=7^2
25+36=49
61=49

Not a right triangle

B. 6,8,14

6^2+8^2=14^2
36+64=196
100=196
Not a right triangle

C. 8,15,17

8^2+15^2=17^2
64+225=289
289=289
Right triangle

D. 10,12,15

10^2+12^2=15^2
100+144=225
224=225
Not a right triangle

E. 15,20,25

15^2+20^2=25^2
225+400=625
625=625
Right triangle