Question

Find thearea of anequilateral triangle of side7 cm. ?​

Answer 1

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Answer 2

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Given :

Side = 7 cm

To find :

Area of the equilateral triangle . ?¿

Let's solve from heron formula .

In equilateral triangle all sides are equal so

AB = BC = CA = 7cm

s = $\frac{AB + BC + CA}{2}$

s = $\frac{7 + 7 + 7}{2}$

s = $\frac{21}{2}$

Heron Formula = $\sqrt{s(s - a)(s - b)(s - c)}$

H = $\sqrt{s(s - 7)(s - 7)(s - 7)}$

H = $\sqrt{\frac{21}{2}{(\frac{21}{2} - 7)}{(\frac{21}{2} - 7)}{(\frac{21}{2} - 7)}}$

H = $\sqrt{\frac{21}{2}{(\frac{7}{2})}{(\frac{7}{2})}{(\frac{7}{2})}}$

H = $\sqrt\frac{7230}{16}$

H = $\frac{84.67}{4}$

H = 21 . 21 cm²