The perimeter of an equilateral triangle is 7 | vedclass

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Question

(A) Let the side of the equilateral triangle be $a$.Perimeter of the equilateral triangle $= 3a$.Given,$3a = 72 \sqrt{3} 	ext{ cm}$.Therefore,$a = 24

Vedclass · Accepted Answer

$0.36$

Vedclass · Answer

(A) Let the side of the equilateral triangle be $a$.Perimeter of the equilateral triangle $= 3a$.Given,$3a = 72 \sqrt{3} 	ext{ cm}$.Therefore,$a = 24 \sqrt{3} 	ext{ cm}$.The height $h$ of an equilateral triangle is given by the formula $h = \frac{\sqrt{3}}{2} a$.Substituting the value of $a$:$h = \frac{\sqrt{3}}{2} 	imes (24 \sqrt{3}) 	ext{ cm}$.$h = \frac{3}{2} 	imes 24 	ext{ cm} = 36 	ext{ cm}$.To convert the height into meters,divide by $100$:$h = \frac{36}{100} 	ext{ m} = 0.36 	ext{ m}$.

The perimeter of an equilateral triangle is $72 \sqrt{3} \text{ cm}$. Find its height in meters.

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