Question

the height of an equilateral triangle is 6cm.... what is its area??
$12 \sqrt{3}$
$6 \sqrt{3}$
$12 \sqrt{5}$
$18$
all the options are in cm square

Answer 1

Hi Friend !!!

Here is ur answer !!!

If height of equilateral triangle = 6

Then side ;

side² = height ² + (side /2)²

side²-side²/4 = height²

side²(4-1/4) = 6²

side² = 36×4/3

side² = 48

side = √48

Area of equilateral triangle = √3a²/4

= √3√48²/4

= √3×48 / 4

= √3×12

= 12√3 cm²

Hope it helps u : )