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gregori [183]
3 years ago
14

∆JKL~∆MNO and J/K MN =2/3 find the length of NO if KL=12.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
6 0

Answer:

Therefore the length of NO is 18 units.

Step-by-step explanation:

Given:

∆JKL~∆MNO and

\dfrac{JK}{MN}=\dfrac{2}{3}

KL = 12.

To Find :

the length of NO = ?

Solution:

Δ JKL ~ Δ LMN ….{Given)

If two triangles are similar then their sides are in proportion.  

\dfrac{JK}{MN} =\dfrac{KL}{NO}=\dfrac{JL}{MO} \textrm{corresponding sides of similar triangles are in proportion}\\  

Substituting the values we get

\dfrac{2}{3} =\dfrac{12}{NO}\\\\NO=\dfrac{36}{2}=18\\\\NO=18\ unit

Therefore the length of NO is 18 units.

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