If each side of an equilateral triangle is increased by 10% and the area is increased by 10% then find the side of the triangle
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Answer:If the side of an equilateral triangle is increased by 30%, what increase will take in its area?
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Area of an equilateral triangle = (√3/4)a² (a is its side)
increased side = a + 30a/100 = 13a/10
New area = √3/4 (13a/10)²
=( 169√3 a²) / 400
So increase in area=
= (169√3a² /400) - (√3a² /4 )
= 69√3a² / 400 …………… increase in area
So, percentage increase =
( increase / original area ) * 100
[ {69√3a²/400} / {√3/4 a²} ] * 100
Step-by-step explanation:
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