Question

How do you solve this?Geometric Mean Middle, Left, RightDetermine the value of x, y, w and z.. Round to the nearest tenths place if necessary. X = y = W =Z=

Answer 1

Explanation:

For the left triangle:

leg/12 = (12+x)/leg

leg = 13

$\begin{gathered} \frac{13}{12}=\frac{12+x}{13} \\ \end{gathered}$$\begin{gathered} \text{cross multiply:} \\ 13(13)\text{ = 12(12+x)} \\ 169\text{ = 144 + 12x} \end{gathered}$$\begin{gathered} 169-144\text{ = 12x} \\ 25\text{ = 12x} \\ \frac{25}{12}=\frac{12x}{12} \\ x\text{ = 2.08} \end{gathered}$

z = x + 12

z = 2.08 + 12

z = 14.08

For the right triangle:

leg/z = x/leg

leg = y

y/14.08 = 2.08/y

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