Question

LM is a common tangent. PL=10, QM=2, and LM=20. Find the measure of LN.

Answer 1

25cm

Explanation:

using similar triangles.

10/2 = (20+y)/y

where y is length of MN

10y = 40+2y

40= 8y

y= 5.

LN = LM + MN

= 20+5

25cm