# Altitudes of Similar Triangles

How to find the altitudes (heights) of similar triangles: example and its solution.

## Example

It says these two triangles are similar.

So write [ ~ ] between the triangles.

Then their altitudes (heights) and sides

are proportional.

The altitudes are *x* and 5.

The sides are 8 and 6.

So *x*/5 = 8/6.

Reduce 8 to 4

and reduce 6 to 3.

Solve the proportion.

Then 3*x* is equal to, 5⋅4, 20.

Proportion

Divide both sides by 3.

Then *x* = 20/3.