Question

Find the missing length. The triangles are similar.A. 7B. 6C. 17D. 12

Answer 1

We have to find the missing side KS, using the fact that the small and the larger triangles are similar, which means that the ratio of their corresponding sides is the same:

`(LK)/(MK)=(RK)/(SK)\rightarrow(1)`

To calculate the answer we have to find the RK which is as follows:

`\begin{gathered} RK+52=65 \\ \\ RK=65-52=13 \\ \\ RK=13 \end{gathered}`

Plugging all the known information in (1) gives the final equation as follows:

`(65)/(60)=((13))/(SK)\rightarrow(2)`

Solving equation (2) gives the final answer, the steps for the solution are as follows:

The final answer is Option(D) or 12.