Posted by Mona on Friday, February 1, 2013 at 5:48pm.
Find KN and LM. In triangle LKM, angle L is bisected. Line segment LK is 11, line segment KN is x4, line segment NM is 5.4, and line segment LM is 2x + 1.3
(there is a drawing of this triangle)
Thanks.

Geometry8th gr  Reiny, Friday, February 1, 2013 at 7:40pm
I assume the bisector of angle L is LN where N is on KM
In the Post
http://www.jiskha.com/display.cgi?id=1359738761
I proved for you , and Steve called it, the angle bisector theorem
In this case:
KL/KN = LM/MN
11/(x4) = (2x+1.3)/5.4
2x^2  6.7x  5.2 = 59.4
2x^2  6.7x  64.6 = 0
20x^2  67x  646 = 0
x = (67 ± √56169)/40
= 7.6 or a negative which will not work in 2x+1.3
KN = x4 = 7.6  4 = 3.6
LM = 2x+1.3 = 15.2 + 1.3 = 16.5
check:
LK/KN = 11/3.6 = 55/18
LM/MN = 16.5/5.4 = 55/18

Geometry8th gr  Mona, Friday, February 1, 2013 at 9:51pm
Thanks.
Answer This Question
Related Questions
 Geometry  Find KN and LM. In triangle LKM, angle L is bisected. Line segment LK...
 Geometry8th gr  The perimeter of triangle ABC is 120. LIne segment BD bisects...
 Geometry  Yes, I'm this desperate. I just have problems with coming up with the...
 7th grade math  Quadrilateral WXYZ os describes below. Line segment WX is ...
 geometry  A triangle is formed where line segment AC and line segment BC have ...
 geometry  Given: M is the midpoint of line segment PQ and line segment RS. ...
 Geometry  Theorem: A line parallel to one side of a triangle divides the other...
 geometry  in triangle PQR,line segment PQ is = and congruent to line segment QR...
 Geometry  Please write a paragraph proof for this statement. Point Y is the ...
 Geometry  Please write a paragraph proof for this statement. 30: Point Y is the...
More Related Questions