Question

In triangle rst, rs=x+7, rt=2x-3, and st=x+7. If the perimeter is 32, find the value of x and classify the triangle by its sides.

Answer 1

X=5.25 it’s a isosceles Triangle

Answer 2

x = 5.25 and it is an isosceles triangle.

Explanation:

The perimeter of a figure it the measure of all its sides added up.

Therefore RS+RT+ST=32

By substitution:

(x+7)+(2x-3)+(x+7)=32

Combine like terms and add:

4x+11=32

Subtract 11

4x=21

Divide 4

x=5.25

After substituting the value back in, we get that RS=12.25, RT=7.5, and ST=12.25

In an isosceles triangle, two sides have the same measure.

x = 5.25 and it is an isosceles triangle.