Math, asked by mukundsrivastava1971, 2 days ago

15. The height of an equilateral triangle is 6 cm. Its area is
(a) 33 cm (b) 213 cm
(c) 2v2 cm​

Answers

Answered by acharyalaxmi2019
1

A) The area of the equilateral triangle 213 cm.

Answered by goelmadhav242
0

Answer:

By direct formula,

height \:  =  \frac{ \sqrt{3} }{2}  \times (side)  \\  side =  \frac{2}{ \sqrt{3} } \times height  \\  = \frac{2}{ \sqrt{3} } \times 6 \: cm \\  =  \frac{2 \sqrt{3}}{3}   \times 6  \\  = 2 \sqrt{3}  \times 2 \\  = 4 \sqrt{3} \: cm  \\ area \:  =   \frac{ \sqrt{3} }{4}  \times  {side}^{2}  \\  = \frac{ \sqrt{3} }{4} \times  {(4 \sqrt{3})}^{2}  \\  = \frac{ \sqrt{3} }{4} \times 16 \times 3 \\  = 4 \times 3 \sqrt{3}  \\  = 12 \sqrt{3}  \\  = 12 \times 1.73 = 20.78 \:  {cm}^{2}

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