Question

I need help with my geometry homework! Thank you! I will mark brainliest!!!!

Answer 1

Answer:

The first choice is the one you want

Step-by-step explanation:

Use geometric means to solve for a first. The formula is

$8^2=15a$ and 64 = 15a and a = 64/15

That one was quite easy.  Finding b is a bit more difficult.

The formula for finding b is

$\frac{a}{b}=\frac{b}{15+a}$

Solving for b:

$b^2=a(15+a)$

Filling in we have

$b^2=15(\frac{64}{15})+(\frac{64}{15})^2$ and

$b^2=64+\frac{4096}{225}$ and

$b^2=\frac{18496}{225}$ so b = 136/15