Question

Triangle KAB is similar to triangle KML. Find the length of AB.L36B5430K50A

Answer 1

Given the figure in the attached image;

The triangles KAB and KML are similar

`\Delta KAB\text{ \textasciitilde}\Delta KML`

So, the sides of the triangles are proportional.

`(KB)/(KL)=(AB)/(ML)`

Given in the figure;

`\begin{gathered} KB=30 \\ KL=36 \\ ML=54 \end{gathered}`

substituting the given values;

`\begin{gathered} (KB)/(KL)=(AB)/(ML) \\ (30)/(36)=(AB)/(54) \\ AB=(30*54)/(36) \\ AB=45 \end{gathered}`

Therefore, the length of side AB is;

`45\text{ units}`