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Question 53
The perimeter of an equilateral triangle is 36 cm. What is the area of this triangle?
Solution
= $$\sqrt{\ 3}\times36$$
= $$36\sqrt{\ 3}$$Â cm$$^2$$
The perimeter of an equilateral triangle is 36 cm.
the perimeter of an equilateral triangle =Â $$3\times length\ of\ each\ side\ =36\ $$
$$length\ of\ each\ side=12$$
Area of this triangle =Â $$\frac{\sqrt{\ 3}}{4}\times\left(length\ of\ each\ side\right)^2$$
=Â $$\frac{\sqrt{\ 3}}{4}\times\left(12\right)^2$$
= $$\frac{\sqrt{\ 3}}{4}\times144$$= $$\sqrt{\ 3}\times36$$
= $$36\sqrt{\ 3}$$Â cm$$^2$$
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