Question

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

Answer 1

The area would increase 6 times

Step-by-step explanation:

The area of the triangle can be calculated as follows:

area =
`(1)/(2) * base * height`

Tripling the side lengths of a right triangle would mean that:

new base = 3 * base

new height = 3 * height

Substitute with the new values in the equation:

new area =
`(1)/(2) * 3 * base * 3 * height`

new area =
`6 ((1)/(2) * base * height)`

Comparing the new area with the original one, 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 :)

Answer 2

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).