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