Question

Each sides of a equilateral triangle is 8cm find height and area of triangle

Answer 1

The area can be easily calculated when we find it's height.
In a equilateral ∆ the hight also acts as a median,it is because the height is perpendicular (90 degree) and hence the two ∆s formed inside the eq∆ are congruent
using Pythagoras theorem
4^2+x^2=8^2
x^2=36
x=6
which is heifht

Answer 2

Answer:

$\huge{ \underline \textbf \color{deeppink}{AnswEr }}$

Here, a = 8 cm.

Area of the triangle

$= { \frac { \sqrt{3} }{ \: \: 4} } \times {a}^{2} \: \: sq.units$

$= \frac{ \sqrt{3} }{4} \times 8 \times 8 \: {cm}^{2} = \: (16 \sqrt{3} ) {cm}^{2}$

$= (16 \times 1.73) {cm}^{2} = 27.68 \: {cm}^{2}$

Height of the triangle

$= \frac{ \sqrt{3} }{2} \times a \: units \: = ( \frac{ \sqrt{3} }{2} \times 8)cm$

$= (4 \sqrt{3} )cm \:$

$= (4 \times 1.73)cm = 6.92 \: cm$

Hope it helps