Question

the area of an equilateral triangle is 16root 3 cm² .the height of the triangle is?​

Answer 1

Answer:

Given = area of equilateral triangle : 16$\sqrt{3}$ cm^2

To find = height of the triangle

solution:

Let the side of triangle be a

area of triangle is given by

$\frac{\sqrt{3} }{4}$ a^2= 16$\sqrt{3\\}$

a^2 = 4×16

a^2 = 64

a= 8

hence the height will be 8

Step-by-step explanation:

in an equilateral triangle every side is equal that means that all sides are equal hence perimeter = 3 × side

                                        = 3 × a

                                        = 3 × 8

                                        = 24

As here we have to find area to get its height

area of triangle = 1/2× base× height

                            16√3 = 1/2 ×  8 × height

                             height  = 4√3

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