Question

If area of an equilateral triangle is 21underroot 3 find altitude

Answer 1

Hi ,

Let side of the equilateral triangle = a

altitude = h

Area of the equilateral triangle = 21√3

( √3/4 ) a ² = 21/√3

a² = ( 21 × 4 )/( √3 × √3 )

a² = 7 × 4

a = √ 7 × 2 × 2

a = √ 7 × 2 × 2

Now ,

h = (√3/2 ) a

h = ( 3/√2 ) × ( √ 7 × 2 × 2 )

h = 3√14

I hope this helps you.

: )