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Ivahew [28]
3 years ago
5

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

Mathematics
2 answers:
Furkat [3]3 years ago
7 0

<u><em>Answer:</em></u>

The area would increase 6 times

<u><em>Explanation:</em></u>

<u>The area of the triangle can be calculated as follows:</u>

area = \frac{1}{2} * base * height

<u>Tripling the side lengths of a right triangle would mean that:</u>

new base = 3 * base

new height = 3 * height

<u>Substitute with the new values in the equation:</u>

new area = \frac{1}{2} * 3 * base * 3 * height

new area = 6 (\frac{1}{2} * base * height)

<u>Comparing the new area with the original one</u>, we can conclude that by tripling the side lengths of the right triangle, the area of the triangle will increase 6 times.

Hope this helps :)

kap26 [50]3 years ago
6 0
The area of the triangle will then be 9 times as great. 

The formula of the area of a triangle is 1/2bh, so if the base has been tripled and the height has been tripled, you're essentially multiplying 3 to the original equation twice (3 x 3 = 9).
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