One side of a square measures x + 3 inches. One side of an equilateral triangle measures x + 7 inches. If the perimeters of the two figures are equal, what is the value of x?

The answer to your question is x = 9

Step-by-step explanation:

Data

Side of a square = s = x + 3

Side of a triangle = s = x + 7

Perimeter of a square = 4s

Perimeter of a triangle = 3s

Process

1.- Consider both perimeters are equal

                    Perimeter of a square = Perimeter of a triangle

2- Substitution

                             4(x + 3) = 3(x + 7)

3.- Expand

                            4x + 12 = 3x + 21

4.- Solve for x

                             4x - 3x = 21 - 12

                                      x = 9

1.0

step-by-step explanation:

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc