Question

Use Pythagorean theorem to decide which of these measures would be correct for the lengths of the sides of a right triangle.

Answer 1

Answer: D) 9, 12, 15

Step-by-step explanation:

The side lengths need to satisfy the Pythagorean theorem, $a^{2}+b^{2}=c^{2}$

A) $2^{2}+3^{2}=4^{2} \longrightarrow 13=16$, which is false.

B) $7^{2}+11^{2}=14^{2} \longrightarrow 170=196$, which is false.

C) $8^{2}+10^{2}=12^{2} \longrightarrow 164=144$, which is false.

D) $9^{2}+12^{2}=15^{2} \longrightarrow 225=225$, which is true.