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aaaa aaaa Grade: 9
`        If each side of a triangle is tripled find change in% in its area.explain it with full steps`
7 years ago

## Answers : (1)

30 Points
```										Solution:-  Let, the initial sides of triangle be 'a', 'b', and 'c'. Then,  semi-perimeter of triangle will be-
s = (a+b+c)/2 and Area of  triangle (A) = √s(s-a)(s-b)(s-c).
Now, if each side is tripled.  Then, new sides will be 3a, 3b, and 3c. And, semi-perimeter  of triangle  will be- s'' = (3a+3b+3c)/2  = 3s
and, New area of triangle (A'') =   √s''(s''-3a)(s''-3b)(s''-3c) = √3s(3s-3a)(3s-3b)(3s-3c)
A'' = 9 √s(s-a)(s-b)(s-c) = 9A
% change in Area = [(A'' - A)/A] x 100 %
= [(9A- A)/A] x 100 % = 800% [ANS]
Please feel free to post as many doubts  on our discussion forum as you can. If you find any questionDifficult to  understand - post it here and we will get you the answer and detailed  solution very quickly. We are all IITians and here to help you in  your IIT JEE preparation.All the best!!!Regards,Askiitians  ExpertsPriyansh Bajaj
```
7 years ago
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