Question

the altitude of an equilateral triangle is 3 root 3 cm find its area

Answer 1

9√3 cm square will be the answer

Answer 2

Answer:  The required area of the given triangle is 9√3 cm².

Step-by-step explanation:  We are given to find the altitude of an equilateral triangle is 3 root 3 cm.

We are to find the area of the triangle.

We know that

the area of an equilateral triangle with altitude h units is given by

$A=\dfrac{h^2}{\sqrt3}~\textup{sq. units}.$

For the given triangle, we have

altitude, h = 3√3 cm.

Therefore, the area of the given equilateral triangle is given by

$A=\dfrac{h^2}{\sqrt3}=\dfrac{(3\sqrt3)^2}{\sqrt3}=9\sqrt3~\textup{cm}^2.$

Thus, the required area of the given triangle is 9√3 cm².