Question

The area of a triangle is 36 cm square. Give three possible sets of dimensions for the triangle and explain whether or not you can also give the triangles' side length.

Answer 1

and

and

and

Explanation:

Given

Shape: Triangle

Solving (a): Three possible dimensions

The area of a triangle is:

Let:

So, we have:

Solve for Height

So, a possible dimension is:
and

Let:

So, we have:

Solve for Height

So, a possible dimension is:
and

Let:

So, we have:

Solve for Height

So, a possible dimension is:
and

So, the three possible dimensions are:

and

and

and

Solving (b): Can the side lengths be given

We can only determine the base and the height of the triangle, the third side length can not be determined using the available information