12. Find the percentage decrease in the area of a triangle if each of its sides is halved.
Decrease in area
[Hint : Percentage decrease in area =
x100]
Original area
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Answer:
Area of traingle=A=root of [s(s-a)
(s-b)(s-c) where 2s=a+b+c.
Each side is halved,
(s'-a')=(s-a)/2
(s'-b')=(s-b)/2
(s'-c')=(s-c)/2
New area A'=square root of
Step-by-step explanation:
[s(s-a)(s-b)(s-c)/16.=A/4.
change in area =3/4A=75% decrease
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