The length of triangles are consecutive odd integers. the perimeter is 87 cm. what is the length of the longest side.

The longest side is 31 cm

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

From the question we can see are told that the three sides of the triangle sum up to be 87 cm and are consecutive odd integers. This means that there is a difference of 2 between each side length. Therefore we can create the following formula in order to solve this problem.

Now that we have the formula we can solve for x.

.... combine like terms

.....subtract 6 on both sides

..... divide by 3 on both sides

Now we can see that the smallest length is 27 cm, but we need to find the longest side. Thankfully we know that the longest side is

The longest side is 31 cm

I hope this answered your question. If you have any more questions feel free to ask away at .

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