Question

Given that triangle ABC ~ XYZ, AB= 4,XY=3,and XZ= 5, find AC

Answer 1

`AC = (20)/(3)`

Explanation:

Given

`AB = 4`

`XY = 3`

`XZ = 5`

Required

Find AC

ABC XYZ

To solve AC, we make use of the following equivalent ratios.

`AB : AC = XY : XZ`

This gives:

`4 : AC = 3 : 5`

Express as fraction

`(4 )/( AC )= (3 )/( 5)`

Cross multiply

`3 * AC = 4 * 5`

`3 * AC = 20`

Solve for AC

`AC = (20)/(3)`