Question

A triangle has a side length of 3/4 inches and a side length of 3 inches. What could be the length of the third side of the triangle?

Answer 1

The length of a third side of the triangle is:

`(9)/(4)<c<(15)/(4)`

Explanation:

We know that the Property of a triangle is that:

The length of the third side of a triangle is always greater than the difference of the length of the other two sides and always less than the sum of the length of the other two sides.

Hence,let 'c' denote the length of the third side of a triangle.

Hence,

`3-(3)/(4)<c<3+(3)/(4)\\\\\\(9)/(4)<c<(15)/(4)`

Answer 2

we know that

The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

therefore
(3+3/4)=3.75 in

the third side must be < 3.75 in

the length could be 3 in