Question

The height of an equilateral triangle is 15cm and its perimeter is 36cm . Find the area of the triangle

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Answer 1

Answer: 90 square cm

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Step-by-step explanation:

All three sides of any equilateral triangle are always the same length. Let's say x is the side length. That means 3x is the perimeter. You can think of it like saying x+x+x = 3x

Solving 3x = 36 leads to x = 12 after dividing both sides by 3.

Each side of the equilateral triangle is 12 cm long. This is the base of the triangle and the height is given to be 15 cm.

area = base*height/2

area = 12*15/2

area = 180/2

area = 90 square cm