Question

Your Turn: Using the figure, a
c
= d
a
.

What steps need to be taken to change this to a² = cd?

Example: Multiply by 2; divide by a, etc

Answer 1

We are given:
$\frac{a}{c} = \frac{d}{a} $

First step is to get rid of fractions. We start by multiplying both sides by a.
$\frac{a}{c} = \frac{d}{a} /*a$

Now we cancel a on right side and we multiply both sides by c.
$\frac{ a^{2}}{c} = \frac{da}{a} /*c \\ \frac{ a^{2}c}{c} = dc$

After canceling c on the right side we are left with:
$a^{2} = dc or a^{2} = cd$