Chapter A.2, Problem 23AYU

To determine

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

Answer to Problem 23AYU

Not a right triangle.

Explanation of Solution

Given:

3, 4, 6

Calculation:

The triangle with sides of lengths 3, 4, and 6.

$3^2=9$

$4^2=16$

$6^2=36$

Notice that the sum of the first two squares (9 and 16) not equals the third square (36). That is, because $3^2+4^2\ne 6^2$, the triangle is not a right triangle.