Question

find the height of an equilateral triangle having the side 2a ​

Answer 1

Answer:

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Answer 2

${\large{\sf{\green{Question}}}}$

Find the height of an equilateral triangle having the side 2a.

${\large{\sf{\green{Solution}}}}$

$\large{\sf{\red {Area \: of \: an \: equilateral}}}$

${\large{\sf{\pink{Δ = \frac{ \sqrt{3} }{4} A^2}}}}$

${\large{\sf{\orange{=\frac{ \sqrt{3} }{4} (2a)^2 = \frac{ \sqrt{3 }\times 4a^2 }{4}}}}}$

${\large{\sf{\blue {Area = \sqrt{3}a ^2}}}}$

${\large{\sf{\red{AD = h = height}}}}$

${\large{\sf{\green{Area = \frac{1}{2} \times base \times height}}}}$

${\large{\sf{\pink{ \sqrt{3} {a}^{2} = \frac{1}{2} \times 2a \times h}}}}$

${\large{\sf{\orange {\therefore h = \sqrt{3} a}}}}$