Question

Find the area of an equilateral triangle whose each side is 12cm. Also,find the height of triangle.​

Answer 1

Step-by-step explanation:

Area of equilateral triangle with side (a) =12cm

$\frac{ \sqrt{3} }{4} \times {a}^{2}$

$= \frac{ \sqrt{3} }{4} \times {12}^{2} \\ = \frac{ \sqrt{3} }{4} \times 12 \times 12 \\ = { \sqrt{3} } \times 3 \times 12 \\ 36 \sqrt{3} \: {cm}^{2}$

Now the height of triangle with side(a) = 12

$\frac{ \sqrt{3} }{2} \times a \\ = \frac{ \sqrt{3} }{2} \times 12 \\ = \sqrt{3} \times 6 \\ = 6 \sqrt{3} \: {cm}^{2}$