Question

Triangle JKL is similar to triangle MNO. Find the measure of side OM. Round your answer to the nearest tenth if necessary.

​

Answer 1

Answer:43.1

Explanation:

Answer 2

x=18.5

Explanation:

\frac{\color{steelblue}{KL}}{\color{indianred}{LJ}}=

LJ

KL

​

=

\,\,\frac{\color{steelblue}{NO}}{\color{indianred}{OM}}

OM

NO

​

\frac{Blue}{Red}=\frac{Blue}{Red}

Red

Blue

​

=

Red

Blue

​

\frac{58}{43}=

43

58

​

=

\,\,\frac{25}{x}

x

25

​

Substitute

58\cdot x=

58⋅x=

\,\,25\cdot 43

25⋅43

Cross Multiply

58x=

58x=

\,\,1075

1075

Multiply

x=

x=

\,\,18.534482...

18.534482...

Divide

x\approx

x≈

\,\,18.5

18.5