Question

The longest side of a triangle similar XYZ is 39 units long. Find the other side lengths of the triangle.

Answer 1

The side lengths are 30, 36 and 39.

Explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

`(13)/(39)=(12)/(y)`

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(12)

13y = 468

y = 36

Find the other missing side by repeating the process.

`(13)/(39)=(10)/(y)`

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(10)

13y = 390

y = 30

The side lengths are 30, 36 and 39.