Math, asked by Prashantgaikar2572, 1 year ago

If area of an equilateral triangle is ‘a’having height ‘b’then b²/a

Answers

Answered by mysticd
5
Hi ,

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Area of equilateral triangle ( A )

i )A = ( √3/4 ) × side²

ii ) Height ( h ) = ( √3/2 ) × side

A = ( √3/4 ) × ( 2h/√3 )²

A = h²/√3---( 1 )

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Here ,

A = a , h = b

Substitute these values in equation

( 1 ) , we get

a = b²/√3

=> √3 = b²/a

Therefore ,

b²/a = √3/1

I hope this helps you.

: )
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