Question

the area of an equilateral triangle is 4√3 cm2. Find half of the perimeter of the triangle

Answer 1

Area of equilateral triangle is √3a²/4
and a --- 4cm
perimeter is 4×3 =12
half perimeter is 6 cm

Answer 2

The half of the perimeter of the triangle is 6 cm.

Given,

The area of an equilateral triangle is 4√3 cm².

To Find,

The value of half of the perimeter of the triangle.

Solution,

The formula for calculating the area of an equilateral triangle is √3a²/4.

where a is the side of the equilateral triangle.

Now, the area of the equilateral triangle is given as 4√3 cm².

So,

Area = 4√3

√3a²/4 = 4√3

a² = 16

a = 4 cm

Now, the half of the perimeter of the triangle will be

Perimeter/2 = 4*3/2 = 12/2 = 6 cm.

Hence, the half of the perimeter of the triangle is 6 cm.

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