Question

I am in need of some help :(It looks so simple yet I don't get how to do it. Can anyone help explain?(picture of question attached)source: Pearson/Savvas Realize

Answer 1

x = 14

Explanation:

height = x

base 1 = 98

base 2 = 2

Using altitude formula in geometric mean:

base 1/height = height/base 2

98/x = x/2

$\begin{gathered} \frac{98}{x}=\frac{x}{2} \\ \text{cross multiply:} \\ 2(98)\text{ = x}\times x \end{gathered}$$\begin{gathered} 196=x^2 \\ \text{square root both sides:} \\ \sqrt[]{196}\text{ = }\sqrt[]{x^2} \\ x\text{ = }\sqrt[]{196} \\ x\text{ = 14} \end{gathered}$