Answered

Triangle KLM is similar to triangle NOP. Find the measure of side NO. Round your

answer to the nearest tenth if necessary.

M

P Р

O

1

23

51.6

38

N

Answer :

MrRoyal

Answer:

[tex]NO= 31.2[/tex]

Step-by-step explanation:

See attachment for triangle

From the attachment, we have:

[tex]KL = 51.6[/tex]

[tex]LM= 38[/tex]

[tex]OP = 23[/tex]

Required

Find NO

This will be calculated using the following equivalent ratios:

[tex]NO : OP = KL : LM[/tex]

This gives:

[tex]NO : 23= 51.6: 38[/tex]

Express as fraction

[tex]\frac{NO }{ 23}= \frac{51.6}{ 38}[/tex]

Make NO the subject

[tex]NO= \frac{51.6}{ 38} * 23[/tex]

[tex]NO= \frac{51.6* 23}{ 38}[/tex]

[tex]NO= \frac{1186.8}{ 38}[/tex]

[tex]NO= 31.2[/tex] --- approximated

Answer:

x≈ 16.9

Step-by-step explanation:

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