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33. In a triangle if each side of a triangle is halved, them what is the percontage diange in its(1) 75% increase(3) 25% increase(2) 75% decrease(4) 25% decrease

Answer»

Area of triangle = A = square root of [s(s-a)(s-b)(s-c) where 2s =a+b+c.

Each side is halved,

s’ = s/2

(s’-a’) = (s-a)/2.

(s’-b’) = (s-b)/2.

(s’-c’) = (s-c)/2.

New areaA’ = square root of [s(s-a)(s-b)(s-c) /16. = A/ 4.

Change in area = 3/4 A

= 75% decrease

still more clear



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