Question Video: Finding the Side Length of an Equilateral Triangle given Its Perimeter Mathematics

Calculate the length of one of the sides of an equilateral triangle which has a perimeter of 93 m.

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Video Transcript

Calculate the length of one of the sides of an equilateral triangle which has a perimeter of 93 meters.

Let’s start this question by recalling that an equilateral triangle is a triangle which has all three of its sides equal in length. We could draw an equilateral triangle that looks like this. We’ve marked on that the sides are all of the same length. What we need to do here is to work out what the length of one of these sides will be, given that the perimeter is 93 meters.

Sometimes it’s easy to get confused between area and perimeter. But the perimeter is the distance around the outside edge. So let’s say that we said that the length of one of these sides is called 𝑥. That means that we’ve got three sides that will be 𝑥 meters long. To find the perimeter of this triangle with side length 𝑥, we’d add up our three 𝑥’s. This would be equal to three 𝑥.

So we’re told that the perimeter is 93 meters. So we can write that three 𝑥 is equal to 93. We can then solve to find the value of 𝑥. Dividing both sides by three, we’d find 93 divided by three, which will give us 31. We can do this quickly by remembering that 90 divided by three is 30 and three divided by three is one. The length units will still be in meters.

So we can give our answer that the length of one of the sides of this triangle would be 31 meters.

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