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

Mathematics

2 answers:

tamaranim1 [39]2 years ago

8 0

Answer: 54

Step-by-step explanation: its right for sure on edge2020

Iteru [2.4K]2 years ago

3 0

Answer:

PQ = 54

Step-by-step explanation:

The rest of the question is the attached figure.

As shown:

triangle RPQ is similar to triangle RTS.

So, the corresponding sides are in proportion.

$\frac{PQ}{TS}= \frac{RP}{RT}$

From the figure:

TS = 36 , RP = 42 AND RT = 28

∴ $\frac{PQ}{36} = \frac{42}{28} \\$

∴ PQ = 36 * 42/28 = 54

So, the distance between P and Q = 54

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