Question

Triangles RST and UVW are similar. Find the missing side y.

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

triangle 1

RS = 10

RT = 7

triangle 2

UV = 14.5

UW = y = ?

Step 02:

We must apply the properties of congruent triangles.

`(RS)/(UV)=(RT)/(UW)`
`(10)/(14.5)=(7)/(UW)`

10 * UW = 7 * 14.5

UW = (7 * 14.5) / 10

UW = 10.15

The answer is:

UW = y = 10.15