The height of a triangle is 4 sqrt 3 . what is the perimeter of the equatorial triangle?

The perimeter of the equatorial triangle is 24 units

Given that,

An equilateral triangle has an height equal to

The triangle is shown below

From Triangle ABC in the shown figure AD

Let the sides of the equilateral triangle be ‘a’

AB = BC = a

Since, it is an equilateral triangle we get,

BD = DC = a ÷ 2

Now, using Pythagoras Theorem in Triangle ABD,

The Pythagorean theorem is this: In a right triangle, the sum of the squares of the lengths of the two legs is equal to the square of the length of the hypotenuse.

a = 8

Hence, the three sides of the triangle are 8 units each

In equilateral traingle, length of all three sides of triangle are equal

So, Perimeter = 3 (Length of each side of triangle)

Perimeter = 3 8 = 24

Thus the perimeter of the equatorial triangle is 24 units

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.