Chapter A.2, Problem 24AYU

To determine

Which are right triangles. For those that are, identify the hypotenuse.

Answer to Problem 24AYU

Not a right triangle.

Explanation of Solution

Given:

4, 5, 7

Calculation:

The triangle with sides of lengths 4, 5, and 7.

$4^2=16$

$5^2=25$

$7^2=49$

Notice that the sum of the first two squares (16 and 25) not equals the third square (49). That is, because $4^2+5^2\ne 7^2$, the triangle is not a right triangle.