Question

Find the area of equilateral triangle whose altitude is 16√3.​

Answer 1

Answer:

the area of the equilateral triangle is 442.88 Sq. Units.

Step-by-step explanation:

Let the side of the triangle is given by " a "

now height of the equilateral triangle is given by √3÷2 x Length of side

                                                 ( By Pythagoras Theorem you can find it.)

⇒               16√3 = √3 × a ÷ 2

⇒                16 = a ÷ 2

⇒                  a = 32 units.

Now , Area of Triangle = 0.5 × base × height

                                     = 0.5 × 32 × 16√3

                                        = 442.88 Sq. Unit.