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:

`(a)/(c) = (d)/(a)`

First step is to get rid of fractions. We start by multiplying both sides by a.

`(a)/(c) = (d)/(a) /*a \\`

Now we cancel a on right side and we multiply both sides by c.

`( a^(2))/(c) = (da)/(a) /*c \\ ( a^(2)c)/(c) = dc`

After canceling c on the right side we are left with:

`a^(2) = dc or a^(2) = cd`