Friday

April 18, 2014

April 18, 2014

Posted by **Mona** on Friday, February 1, 2013 at 5:48pm.

(there is a drawing of this triangle)

Thanks.

- Geometry-8th gr -
**Reiny**, Friday, February 1, 2013 at 7:40pmI 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/(x-4) = (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 = x-4 = 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

- Geometry-8th gr -
**Mona**, Friday, February 1, 2013 at 9:51pmThanks.

**Related Questions**

Geometry - Find KN and LM. In triangle LKM, angle L is bisected. Line segment LK...

geometry - In triangle LM equals 5 and m angle K equals 45. find KL. leave your ...

Geometry-8th gr - Can you please help me with this question? 1.) Given: triangle...

Geometry -8th gr - Given: triangle ABC ~ triangle PQR, m<A = 75 degrees, m<...

geometry - the exterior angle 120degre and one interior angle 45degre of each ...

MATH - The ratio of the perimeter of triangle KLM to the perimeter of triangle ...

geometry - LM has the endpoints L(-1,1) and M(-5,-3) find the coordinates of the...

geometry - find the value of the variable and LN if M is between L and N. LM=8a...

8th grade - Right triangle ABC is similar to triangle XYZ because angle B is ...

Geometry-8th gr - The perimeter of triangle ABC is 120. LIne segment BD bisects...