Q.

Area of an equilateral triangle of side a units can be calculated by using the formula (s-a)s(s-a).

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a

True

b

False

answer is A.

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Detailed Solution

Concept: If a triangle has three sides, a, b, and c, semi-perimeter s, and area of triangle A, then the semi-perimeter and area of the triangle are given as:

s=a+b+c2

A=s(s-a)(s-b)(s-c)

In an equilateral triangle, a=b=c

By Heron's formula,

Area of the given equilateral triangle =s(s-a)(s-a)(s-a)

(s-a)s(s-a)

Hence, the given statement is true.

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Area of an equilateral triangle of side a units can be calculated by using the formula (s-a)s(s-a).