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

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.