Question

15 nArea = 90 in?Height =

Answer 1

The area of a triangle is:

$A=\frac{\text{base}\cdot\text{high}}{2}$

So we use this equation for all questions so:

1)

$\begin{gathered} 48=\frac{b\cdot12}{2} \\ b=\frac{48\cdot2}{12} \\ b=8 \end{gathered}$

2)

$\begin{gathered} 90=\frac{15\cdot h}{2} \\ h=\frac{90\cdot2}{15} \\ h=12 \end{gathered}$

3)

$\begin{gathered} 52=\frac{b\cdot8}{2} \\ b=\frac{52\cdot2}{8} \\ b=13 \end{gathered}$

4)

$\begin{gathered} 25=\frac{5\cdot h}{2} \\ h=\frac{25\cdot2}{5} \\ h=10 \end{gathered}$

5)

$\begin{gathered} 36=\frac{b\cdot9}{2} \\ b=\frac{36\cdot2}{9} \\ b=8 \end{gathered}$

6)

$\begin{gathered} 119=\frac{14\cdot h}{2} \\ h=\frac{119\cdot2}{14} \\ h=17 \end{gathered}$