Question

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

$P=22.5\text{yd}$

Short answer

The length of the other two sides is $8.1\text{yd}$ each.

The triangle is an isosceles triangle.

Step-by-step solution

Step 1. Given Information.

Perimeter of the triangle is$22.5\text{yd}$.

Length of one side is$6.3\text{yd}$.

Length of remaining two sides is same.

Step 2. Calculation.

Let the length of one side of triangle be x.

Since two sides of the triangle are same.

$x+x+6.3=22.5$

Now add both x together.

$2x+6.3=22.5$

Subtract $6.3$ from both the sides.

$2x+6.3-6.3=22.5-6.3$

This gives us,

$2x=16.2$

Now, divide both sides by 2.

$\frac{2x}{2}=\frac{16.2}{2}$

This gives us,

$x=8.1$

Both the sides of the triangle are $8.1\text{yd}$ each.

Step 3. Conclusion.

The length of the unknown side is $8.1\text{yd}$ each.

Since, two sides of the triangle are same and one is different it is an isosceles triangle.