the area of a triangle is 125 square units what would it’s new area be if it’s base was half as long and its height was three times as ling
The area of a triangle is given by the formula A = 1/2 * base * height.
Let the original base of the triangle be b and the original height be h.
Given that the original area of the triangle is 125 square units, we have:
125 = 1/2 * b * h
Now, if the base is half as long and the height is three times as long, the new base would be b/2 and the new height would be 3h.
The new area of the triangle would be:
A' = 1/2 * (b/2) * (3h)
A' = 1/4 * b * 3h
A' = 3/4 * b * h
We know that the original area of the triangle is 125 square units, so we can substitute this back into the equation:
125 = 3/4 * b * h
Solving for the new area A', we get:
A' = 4/3 * 125
A' = 166.67 square units
Therefore, the new area of the triangle would be approximately 166.67 square units.