Chapter A.2, Problem 20AYU

To determine

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

Answer to Problem 20AYU

Not a right triangle.

Explanation of Solution

Given:

2, 2, 3

Calculation:

The triangle with sides of lengths 2, 2, and 3.

$2^2=4$

$2^2=4$

$3^2=9$

Notice that the sum of the first two squares (4 and 4) not equals the third square (8). That is, because $2^2+2^2\ne 3^2$, the triangle is not a right triangle.