Directions: if T is the circumcenter of AMNP, find each measure. 8. Find TN. M- N 6x - 56 3x - 17 P TN=

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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**Directions:** If \( T \) is the circumcenter of \( \triangle MNP \), find each measure.

8. Find \( TN \).

In the diagram, \( \triangle MNP \) is shown with circumcenter \( T \). The diagram includes points \( M \), \( N \), \( P \), \( R \), \( S \), and \( Q \). 

- Line segments \( MT \), \( RT \), \( NT \), and \( PT \) are shown, forming lines from the vertices \( M \), \( N \), and \( P \) to the circumcenter \( T \).
- The segment \( MQ \) is labeled \( 6x - 56 \).
- The segment \( QP \) is labeled \( 3x - 17 \).

The task is to calculate the length of \( TN \).

**TN = _____________**
Transcribed Image Text:**Directions:** If \( T \) is the circumcenter of \( \triangle MNP \), find each measure. 8. Find \( TN \). In the diagram, \( \triangle MNP \) is shown with circumcenter \( T \). The diagram includes points \( M \), \( N \), \( P \), \( R \), \( S \), and \( Q \). - Line segments \( MT \), \( RT \), \( NT \), and \( PT \) are shown, forming lines from the vertices \( M \), \( N \), and \( P \) to the circumcenter \( T \). - The segment \( MQ \) is labeled \( 6x - 56 \). - The segment \( QP \) is labeled \( 3x - 17 \). The task is to calculate the length of \( TN \). **TN = _____________**
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