125k views
3 votes
What is the length of OP?

What is the length of OP?-example-1

1 Answer

7 votes

Answer:

Explanation:

Triangle LMN is similar to Triangle OMP, so you can write a proportion (that is two ratios, or fractions, equal to each other)

LM is to OM as LN is to OP

the equation looks like this:

LM/OM = LN/OP

Fill in the numbers you know

28/10 = 26/OP

Cross multiply and solve for OP

26*10 = 28*OP

260 =28*OP

Divide both sides by 28

260/28 = OP

9.3 = OP

User Dmitry Kostyuk
by
5.2k points