Question

Using the similar triangles below, find the measure of side x.
3cm
12cm
8cm

Answer 1

the measure of side x is 2.

Similar triangles can be used to set up a proportion:

`(8)/(x) = (12)/(3)`

We can solve for x by multiplying both sides by the left denominator and then multiplying both sides by the right numerator:

`$$12x = 3 \cdot 8$$`

Simplifying the right side gives:

12x = 24

`x = (24)/(12)`

Therefore, the measure of side x is:

x=2