Question

M2N53кIn the diagram, AJKL-AMNO. What is the length of side KL?My Answer:

Answer 1

Since ∆JKL and ∆MNO are similar, this means, the ratio of each corresponding sides is equal.

Therefore, we can say that:

`(MN)/(JK)=(NO)/(KL)`

Let's plug in the length of MN, JK, and NO in the equation above.

`(2)/(3)=(5)/(KL)`

Then, solve for KL.

`\begin{gathered} \text{Cross multiply.} \\ 2KL=15 \\ \text{Divide both sides by 2.} \\ (2KL)/(2)=(15)/(2) \\ KL=7.5 \end{gathered}`

Therefore, the length of side KL is 7.5 units.