If the area on an equilateral triangle is 81 root 3 . find it’s perimeter

Area  = 1/2 * base + height  = 81 √3

Find the relation between the base and the height:-

The triangle formed by the perpendicular from a vertex to the base  is a 30-60-90 triangle  where the ratio of its sides is 2:1:√3   where 2 is hypotenuse, height is √3 and  1 = 1/2 base of the equilateral triangle. So here we can let 1/2 base = x then height = √3x.

So 81 √3 = x * √3x

x^2 = 81

and x = 9  and the hypotenuse = 2*x = 2x

Therefore the perimeter =  2x * 3

= 6*9

= 54    answer

correct answer:

a + bi

hey there!

if she's saving for six months, let's divide the total number we need for the trip by six, dividing it into the amount that needs to be saved for each month.

500 ÷ 6 =

she needs to save at least this amount each month, so we should use this symbol: ≥

let x be the amount she saves each month.

your final answer is x ≥

hope this !