the area of a triangle is 132 units what would its new area be if its base was half as long an its height was three times as long

1 answer

The formula for the area of a triangle is A = (1/2) * base * height.

Let's say the original base is B and the original height is H. Using the formula, we have:

132 = (1/2) * B * H
264 = B * H

If the new base is half as long as the original base, it would be B/2. If the new height is three times as long as the original height, it would be 3H.

The new area would be:

A' = (1/2) * (B/2) * (3H)
A' = (1/4) * B * 3H
A' = (1/4) * 264
A' = 66 units

Therefore, the new area of the triangle would be 66 units.