1. the prism-shaped roof has equilateral triangular bases. create an equation that models the height of one of the roof's triangular bases in terms of its sides. in your final answer, include all necessary calculations.

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Step-by-step explanation:

we know that

An equilateral triangle has three equal sides and three equal interior angles (the measure of each interior angle is equal to 60 degrees)

see the attached figure to better understand tyhe problem

Let

h ----> the height of an equilateral triangle

b ---> the length side of an equilateral triangle

In the right triangle ABD

Applying the Pythagorean Theorem

substitute the given values

square root both sides

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

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