Question

height of equilateral triangle is 4 root 3 cm find area of triangle

Answer 1

hope you will understand

Answer 2

$Let \: side \:of \:an \: equilateral \: triangle \\is \: \red {a } \:cm$

$Height \: of \: the \: triangle (h) = 4 \sqrt{3} \:cm$

$\implies \frac{\sqrt{3}}{2} a = 4 \sqrt{3} \:cm$

$\implies a = 4\sqrt{3} \times \frac{2}{\sqrt{3}}\\= 4 \times 2 \\= 8 \:cm$

$\implies\red{ Area \:of \:the \: equilateral \: triangle} \\= \frac{\sqrt{3}}{4} \times a^{2} \\= \frac{\sqrt{3}}{4} \times 8^{2} \\= \frac{\sqrt{3}}{4} \times 64 \\= 16\sqrt{3} \: cm^{2}$

Therefore.,

$\red{Area \:of \:the \: equilateral \: triangle}\\\green {= 16\sqrt{3} \: cm^{2}}$

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