N M In the figure above, what is the length of NQ ? 4) 2.2 B) 2.3 C) 2.4 D) 2.5

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
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**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 \( NQ \).
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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