Chapter 14, Problem 12ASNE

To determine

Tofill: in the blanks.

Answer to Problem 12ASNE

A triangle with sides of length $x,x+2\text{ and }x+4$ is sometimes an acute triangle.

Explanation of Solution

Given information:

A triangle with sides of length $x,x+2\text{ and }x+4$ is _____ an acute triangle.

A triangle with sides of length $x,x+2\text{ and }x+4$ is sometimes an acute triangle.

Because it depends on the value of $x$ , and it is not necessary that for every value of $x$ , the triangle is acute.