Question

Which set of numbers could represent the lengths of the sides of a right triangle?

Answer 1

I think A and D but Not Really

Answer 2

Answer:

C. 5, 12, 13

Step-by-step explanation:

A. 16, 32, 36

$\sqrt{16^{2} +32^{2} } =\sqrt{256+1024} =\sqrt{1280} =16\sqrt{5} \\16\sqrt{5} \neq 36$

B. 6,7,8

$\sqrt{6^{2} +7^{2} } =\sqrt{36+49} =\sqrt{85} \\\sqrt{85}\neq 8$

C. 5, 12, 13

$\sqrt{5^{2} +12^{2} } =\sqrt{25+144} =\sqrt{169} =13\\13=13$

D. 8, 12, 16

$\sqrt{8^{2} +12^{2} } =\sqrt{64+144} =\sqrt{208} =4\sqrt{13} \\4\sqrt{13}\neq 16$