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

LM is a common tangent. PL=10, QM=2, and LM=20. Find the measure of LN.-example-1
User SonalPM
by
5.9k points

1 Answer

3 votes

Answer:

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

User Alfonso Rubalcava
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6.9k points