Question

the length of an altitude equilateral triangle is √3 cm find the length of side and perimeter of a triangle

Answer 1

Hey there!

Given,

Altitude = √3 cm

Let the ΔABC be equilateral triangle.

All angles will be 60°.

And Altitude (AD) will bisect the base.

So, ∠ADC = 90°.

Let the side be a. Then, by pythagoras theorem in ΔADC,

Altitude² + (a/2)² = a²

3² = a²- a²/4

3 = 3a²/4

a² = 4

a = 2 cm

Now,

Perimeter = 3 * side

                 = 3 * 2 cm

                = 6 cm

Hope It Helps You!

Answer 2

Answer:

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