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9 votes
What is LN equal to?

What is LN equal to?-example-1
User Tedil
by
8.2k points

1 Answer

8 votes

Since triangle LKJ is similar to triangle LNM,

we know that JK / MN = LK / LN.

JK = 40

MN = 25

LK = LN + KN = LN + 12

LN = ?

Sub these values in and solve for LN...

40 / 25 = (LN + 12) / LN

Simplifying and distributing...

1.6 = 1 + 12 / LN

Subtracting 1 from on both sides...

0.6 = 12 / LN

Multiplying both sides by LN...

0.6 * LN = 12

Dividing both sides by 0.6...

LN = 20

User Fiona Hopkins
by
8.8k points

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