Question

If the area of an equilateral triangle is 12√3 sq. units ,then its altitude is

Answer 1

Answer:

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Step-by-step explanation:

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From attachment, base=2root3cm

So Area of triangle =

$\frac{1}{2} \times 2 \sqrt{3} \times h = 12 \sqrt{3}$

$\sqrt{3} \times h = 12 \sqrt{3}$

$h = 12cm$

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Answer 2

Given :  The area of an equilateral triangle is 12√3 cm square.

To Find : height

Solution:

Area of Equilateral Triangle =  ( √3  / 4)  Side²

( √3  / 4)  Side² =  12√3

=> Side²   = 48

=> side = 4√3  cm

Area of triangle  = ( 1/2) * base * height

base   = 4√3  cm

=> (1/2)  4√3  * height  =   12√3

=> 2√3  * height  =12√3

=>  height  = 6 cm

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