Question

Find the value of x.

Answer 1

x = 4,5

Explanation:

These two triangles are similar (according to 3 sides):

The three sides of one triangle are proportional to the three sides of the other triangle:

`(7.5)/(5) = (6)/(4) = (x)/(3)`

`(6)/(4) = (x)/(3)`

Use the property of proportion to find x (cross-multiply):

`4x = 6 * 3`

`4x = 18`

Divide both sides by 4 to make x the subject:

`x = 4.5`