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Sidana [21]
3 years ago
6

The perimeter of a right triangle is 25 meters, and the area is 20 square meters. The lengths of the sides are each multiplied b

y 3. What is the area of the new triangle? Please help me, not by just giving me the answer, but by explaining how I solve this so I can solve it on my own. Thanks :)
Mathematics
1 answer:
HACTEHA [7]3 years ago
8 0
The Heron's formula for calculating area is
S=√p(p-a)(p-b)(p-c)
where
p is perimiter divided into 2
p=(a+b+c)/2
Then length of each side is multiplyed into 3
New p is bigger than old by three times
p=3(a+b+c)/2  
S=√3p*3(p-a)*3(p-b)*3(p-c)=9√p(p-a)(p-b)(p-c)
Area of new triangle are bigger than area of old triangle by 9 times.
S=20*9=180 square meters
Area of new triangle is 180 square meters.

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