Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Question

Transcribed Image Text:**Geometry Problem: Finding the Length of a Segment**
In the triangle \( \triangle MNP \), we have:
- \( MN = 3 \)
- \( NP = 4 \)
- \( MQ \) is perpendicular to \( NP \) (indicating that \( MQ \) is the height from \( M \) to \( NP \))
- \( \angle NQP \) is \( 90^\circ \)
**Problem Statement:**
In the figure above, what is the length of \( NQ \)?
**Options:**
A) 2.2
B) 2.3
C) 2.4
D) 2.5
**Explanation of Diagram:**
The triangle \( \triangle MNP \) is shown with its height \( MQ \) drawn from point \( M \) to line \( NP \), creating a right angle at \( Q \). The triangle forms two right triangles: \( \triangle MNQ \) and \( \triangle MQP \). We need to find the length of segment \( NQ \).
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