Abrother out the triangles are similar. what is the value of x? enter your answer in the box. x =

The value of x is 12.

Step-by-step explanation:

In order to find the value of x, we first need to find the scale factor. We can find this by dividing any side of the larger triangle with the corresponding part of the smaller triangle.

28/7 = 4

This means everything in the larger triangle is 4 times as great as the smaller triangle. Knowing this, we can set the larger hypotenuse equal to 4 times the smaller.

6x + 28 = 4(25)

6x + 28 = 100

6x = 72

x = 12

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