In the given triangle, \( C \) is the centroid, and \( KG \), \( LF \), and \( JH \) are all medians. If \( FC = 2 \), find \( CL \) and \( LF \).Diagram:- The diagram shows a triangle with point \( C \) marked as the centroid.- From \( C \), lines extend to \( F \), \( G \), and \( H \); these lines represent the medians.- Points \( K \), \( L \), and \( J \) are connected to form the triangle’s vertices.\( CL = \) [Blank]\( LF = \) [Blank]If \( HC = 7x \) and \( CJ = 6x + 16 \), find the value of \( x \), \( HC \), \( CJ \), and \( JH \).\( x = \) [Blank]\( HC = \) [Blank]\( CJ = \) [Blank]\( JH = \) [Blank]

Name: In the given triangle, \( C \) is the centroid, and \( KG \), \( LF \
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Description: In the given triangle, \( C \) is the centroid, and \( KG \), \( LF \), and \( JH \) are all medians. If \( FC = 2 \), find \( CL \) and \( LF \).Diagram:- The diagram shows a triangle with point \( C \) marked as the centroid.- From \( C \), lines

We know that the centroid divides the median in 2:1 ratio. So, CLFC=21or, CL2=2or, CL=4So,…

Answered: In the below triangle, C is the…

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In the below triangle, C is the centroid and KG, LF, and JH are all medians. If FC-2, find CL and LF. G. CL= LF%3 If HC=7x and CJ=6x+16, find the value of x, HC, CJ, and JH X= HCD CJ=

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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