Question

Which of the following triangle lengths form right triangles? Select all that apply.

(7, 11, 13)
(10, 24, 26)
(12, 16, 20)
(12, 35, 37)
(13, 15, 19)

Answer 1

(12,16,20)

(12,35,37)

Explanation:

a^2+b^2=c^2

Answer 2

Test each set in Pythagorean theorem, since they are right triangles.

a^2+b^2=c^2

a and b are the legs, or the shorter sides, and c is the hypotenuse, or longest side

(7,11,13)

7^2+11^2=13^2

49+121=169

170=169

False

(10,24,26)

10^2+24^2=26^2

100+576=676

676=676

True

(12,16,20)

12^2+16^2=20^2

144+256=400

400=400

True

(12, 35, 37)

12^2+35^2=37^2

144+1225=1369

1369=1369

True

(13, 15, 19)

13^2+15^2=19^2

169+225=361

394=361

False