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svlad2 [7]
2 years ago
12

How does tripling the side lengths of a right triangle affects its area?

Mathematics
1 answer:
Andrej [43]2 years ago
6 0

Let x,y be the lengths of the original legs. The original area is thus

\dfrac{xy}{2}

Now, we triple the legs, so we have (x,y)\mapsto(3x,3y)

The new area is

\dfrac{(3x)(3y)}{2} = \dfrac{9xy}{2} = 9\dfrac{xy}{2}

which is 9 times the original area.

So, if you triple both legs, the area will be nine times as much as the original one.

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