SOLUTION: 14. In AKLM K = ¿L, KL-9-40, LM-7x-37, and KM = 3x + 23, find and the measure of each side.

Algebra ->  Triangles -> SOLUTION: 14. In AKLM K = ¿L, KL-9-40, LM-7x-37, and KM = 3x + 23, find and the measure of each side.      Log On


   

Question 1205967: 14. In AKLM K = ¿L, KL-9-40, LM-7x-37, and KM = 3x + 23, find and the measure of each side.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

triangle KLM
∠K ≅ ∠L
we know that side KM is opposite angle L and side ML is opposite angle K, then side LM+=KM
if
KL+=+9x+-+40
LM+=+7x+-+37
KM+=+3x+%2B+23
then
LM+=KM
7x+-+37=3x+%2B+23
7x+-+3x=37+%2B+23
4x=60
x=60%2F4
x=15

and the measure of each side is
KL+=+9x+-+40=9%2A15-40=95
LM+=+7x+-+37=7%2A15-37=68
KM+=+3x+%2B+23=3%2A15%2B23=68