Question

In the figure below, triangle RPQ is similar to triangle RTS.

Triangle R P Q. Side P R is 42 and side P Q is x. Triangle S R T. Side S T is 36 and side R T is 28.

What is the distance between P and Q?
24
42
50
54

Answer 1

D) 54

Explanation:

Completed the test earlier

Answer 2

The distance between P and Q is 54

Explanation:

We are given that triangle RPQ is similar to triangle RTS.

Property of similar triangle: The ratio of any pair of corresponding sides is the same.

So, by property :
`(RP)/(RT)=(PQ)/(ST)`

PR=42

PQ=x

ST=36

RT=28

So,
`(42)/(28)=(x)/(36)`

`(42 * 36)/(28)=x`

54=x

Hence the distance between P and Q is 54