Chapter A.2, Problem 19AYU

To determine

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

Answer to Problem 19AYU

Not a right triangle.

Explanation of Solution

Given:

4, 5, 6

Calculation:

The triangle with sides of lengths 4, 5, and 6.

$4^2=16$

$5^2=25$

$6^2=36$

Notice that the sum of the first two squares (16 and 25) not equals the third square (36). That is, because $4^2+5^2\ne 6^2$, the triangle is not a right triangle.