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

Answer:

The distance between P and Q is 54

Step-by-step 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 : $\frac{RP}{RT}=\frac{PQ}{ST}$

PR=42

PQ=x

ST=36

RT=28

So,$\frac{42}{28}=\frac{x}{36}$

$\frac{42 \times 36}{28}=x$

54=x

Hence the distance between P and Q is 54

Answer 2

Answer:

D) 54

Step-by-step explanation:

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