Question

The area of a triangle is 124 square units. What would its new area be if its base was half as long, and its height was three times as long?thank you ! :)

Answer 1

The area of a triangle is given by the following formula:

`A=(bh)/(2),`

where b= base, and h=height.

Now, if we multiply b by 1/2, and h by 3, we get:

`(b((1)/(2))h(3))/(2)=(3bh)/(2(2))=(3)/(2)(bh)/(2)=(3)/(2)A.`

Therefore, if A=124 square units, the new area would be:

`(3)/(2)A=(3)/(2)(124u^2)=186u^2.`

Answer:

`\begin{equation*} 186u^2. \end{equation*}`