Question

The perimeter of an equilateral triangle is 90m. Find its area using heron's formula.

Answer 1

Answer:225√3 (hope it help!!!)

Step-by-step explanation:the given triangle is equilateral. So,

a+a+a= 90 or 3a = 90 and

a= 30

Now, semiperimeter(s) = 90/2=45

√s(s-a) (s-b) (s-c)

√45(45-30) (45-30) (45-30)

√45×15×15×15

√3×3×5×3×5×3×5×3×5

3×3×5×5√3

225√3

Answer 2

225√3

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