Question

The altitude of an equilateral triangle is 5 square root 3

Answer 1

Answer:

Step-by-step explanation:

Altitude of equilateral triangle = 5√3

Let side of equilateral triangle be x

The altitude is bisector and perpendicular on base...

So a right triangle is formed...

Using Pythagoras theorem,

A^2 = (A/2)^2 + (5√2)^2

A^2 - A^2/4 = 50

(4A^2-A^2)/4 = 50

3A^2 = 100

So, A = 10/√3 units...

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