Question

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

A. 16, 32, 36

B. 6,7,8

C. 5, 12, 13

D. 8, 12, 16

Answer 1

I think A and D but Not Really

Answer 2

C. 5, 12, 13

Explanation:

A. 16, 32, 36

`\sqrt{16^(2) +32^(2) } =√(256+1024) =√(1280) =16√(5) \\16√(5) \\eq 36`

B. 6,7,8

`\sqrt{6^(2) +7^(2) } =√(36+49) =√(85) \\√(85)\\eq 8`

C. 5, 12, 13

`\sqrt{5^(2) +12^(2) } =√(25+144) =√(169) =13\\13=13`

D. 8, 12, 16

`\sqrt{8^(2) +12^(2) } =√(64+144) =√(208) =4√(13) \\4√(13)\\eq 16`