Question

find the area and the height of an equilateral triangle whose each side measures 12cm​

Answer 1

find the area and the height of an equilateral triangle whose each side measures 12cm

Given ÷

side of equilateral triangle = 12cm

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Concept to find out...

area and height of equilateral triangle =????

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Solution-

$height \: of \: equilateral \: triangle = > \frac{ \sqrt{3} }{2} \times \: area$

$area \: = > \frac{ \sqrt{3} }{4} \times {side}^{2}$

$area = > \frac{ \sqrt{3} }{4} \times {(12)}^{2} \\ \\ = > \frac{ \sqrt{3} }{4} \times 144 \\ \\ = > 36 \sqrt{3} \\ \\ \boxed{area = > 36 \sqrt{3} } \\ \\ height = > \frac{ \sqrt{3} }{2} \times 36 \sqrt{3} \\ \\ = > 18 \times 3 \\ \\ = > 54c {m}^{2} \\ \\ \boxed{height = > 54cm}$

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