Question

Find the unknown side length of the triangle given the perimeter P. Then classify the triangle by its side lengths.

$P=84.3\text{cm}$

Short answer

The length of all the three sides is $28.1\text{cm}$ each and the triangle is an equilateral triangle.

Step-by-step solution

Step 1. Given Information.

Step 1. Given Information.

Perimeter of the triangle is$84.3\text{cm}$.

Length of all the three sides is same.

Step 2. Calculation.

Perimeter of the triangle is$84.3\text{cm}$.

Let the length of one side of triangle be x.

Since all the three sides of the triangle are same -

$x+x+x=84.3$

Now add all x together.

$3x=84.3$

Now, divide both sides by 3.

$\frac{3x}{3}=\frac{84.3}{3}$

This gives us,

$x=28.1$

Since, all the three sides are same, the length of each side is$28.1\text{cm}$.

Step 3. Conclusion.

The length of all the three side is $28.1\text{cm}$ each.

Since, all the three sides of the triangle are same it is an equilateral triangle.