Question

The triangle below has side measurements of 24 17 and 9. Match the side length of the triangle to the appropriate side using what you know about triangle relationships.

Answer 1

See attachment for triangle

Explanation:

Given

`Side\ 1 =24`

`Side\ 2 =17`

`Side\ 3 =9`

Required

Draw a triangle that represent the given sides

No template is given. So, I will draw the triangle from scratch

But first, we check if the given sides are valid for a triangle (using triangle inequality theorem).

This states that:

`Side\ 1 + Side\ 2 > Side\ 3`

`Side\ 3 + Side\ 2 > Side\ 1`

`Side\ 1 + Side\ 3 > Side\ 2`

All three inequalities must be true.

Substitute values of each side in the three inequalities

`24 + 17 > 9` --- True

`9 + 17 > 24` --- True

`24 + 9 > 17` --- True

Since the sides are valid, then the triangle can be drawn (See attachment for triangle)