Question

The perimeter of an isosceles triangle is 32 cm. the base is 2 cm longer than the length of one of the congruent sides. What is the area of the triangle?

Answer 1

Our sides are `10, 10, and 12.`

Explanation:

We can start out by creating an equation that can represent the information that we have. We know that the total perimeter is `32` inches. We can represent each side with parenthesis. Since we know other 2 sides besides the base are equal, we can use that to our advantage.

Our equation looks like this: `(x+2)+(x)+(x) = 32`. We can say this because the base is `2` more than the other two sides, `x`. When we solve this equation, we get `x=10`.

If we plug this in for each side, we get `12, 10 and 10`. When added, that comes out to a perimeter of `32`, which means our sides are right.