using herons formula find the area of an equilateral triangle of side a unit
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by using herons formula
side = a unit
s=( a+a+a)/2
s = 3a/2
area = √s(s-a) (s-b) (s-c)
= √3a/2 (3a/2-a)(3a/2-a)(3a/2-a)
=√ 3a/2( 3a/2- a)
= √ 3a/2( 3a-a/ 2)
= √ 3a/2 x 2a/2
= √ 6a²/ 4
=√ 3 a²/2
hence proved the area formula
side = a unit
s=( a+a+a)/2
s = 3a/2
area = √s(s-a) (s-b) (s-c)
= √3a/2 (3a/2-a)(3a/2-a)(3a/2-a)
=√ 3a/2( 3a/2- a)
= √ 3a/2( 3a-a/ 2)
= √ 3a/2 x 2a/2
= √ 6a²/ 4
=√ 3 a²/2
hence proved the area formula
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the height of an equilateral triangle is 6 find the area of triangle root3 =1.732
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the formula to calculate the height of the right angle triangle= √3 a / 4
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In an equilateral triangle , all the sides are equal. So we have taken the side as 'a' ..............
Solution by heron's formula
The of equilateral traingle that we've got is" root3/4 × a^2
Solution by heron's formula
The of equilateral traingle that we've got is" root3/4 × a^2
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