Answer:
PR = 24
Step-by-step explanation:
Since the triangles are similar then the ratios of corresponding sides are equal, that is
[tex]\frac{KL}{PQ}[/tex] = [tex]\frac{KM}{PR}[/tex]
substituting the relevant given values into the equation
[tex]\frac{48}{36}[/tex] = [tex]\frac{32}{PR}[/tex] ( cross- multiply )
48PR = 1152 ( divide both sides by 48 )
PR = 24
