Question

If PN = 115, NO = 108, and QR = 27, find the length of SQ. Round your

answer to the nearest tenth if necessary. Figures are not necessarily drawn to scale.
47⁰
Answer: SQ =

Answer 1

SQ=115/4 =28.75

Explanation:

108/27 = 115/SQ

108*SQ=27*115

108*SQ=3105

SQ=3105/108

SQ=115/4 =28.75

Answer 2

The calculated length of the segment SQ is 28.8 units

How to determine the length of the segment SQ.

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we can see that

The triangles are similar by AAA

Also, we have

PN = 115, NO = 108, and QR = 27

This means that

SQ/QR = PN/NO

Substitute the known values into the equation

SQ/27= 115/108

SQ = 27 * 115/108

Evaluate

SQ = 28.8

Hence, the length of the segment SQ is 28.8 units