We are told that the perimeter of an equilateral triangle is 60m, and its height is 17.3m. We are asked to find its area. The area of a triangle is half the product of its base and height. We are first going to find the side length, which we will use as the base.
Side Length
Recall that in an equilateral triangle all three sides are congruent. Therefore, we can obtain the side length through dividing the perimeter, p= 60 m, by 3.
Side length: 60 : 3 = 20 m
We found that the side length, which is also the base of the triangle, is 20 m.
Area
Now, recall that the area of a triangle is half the product of its base and corresponding height. We will now substitute these two values, b = 20m and h = 17.3m, in the formula for the area of a triangle.
