Question

Identify the set of side lengths that would form a right triangle.

A) 6, 10, and 8

B) 7, 4, and 5

C) 5, 7, and 11

D) 4, 9, and 12

Answer 1

if it is a right triangle, then this must be satisfied
\[c^2 = a^2 + b^2\]
let's have choice A
6,10 and 8
10 is the hypotenuse or the c in the pythagorean theorem
\[c = \sqrt{6^2 + 8^2}\]
simplify. what'd be the value?