Question

# Calculate the area and height of equilateral triangle whose perimeter is 48 cm

Hint:

### Find side of the triangle using perimeter

## The correct answer is: 13.86 cm

### Let side of the triangle be a

It is given that perimeter of an equilateral triangle = 48

⇒ 3a = 48

⇒ a = 16 cm

Area of an equilateral triangle = (side)^{2}

= (16)^{2 } = 64 cm^{2 }

(Substituting the value of = 1.73, in the above equation)

= 110.85 cm^{2}

Area of triangle

So, height of the triangle = = 13.86 cm

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