Question

SI imi triangles. 16. JK 17 ST J X K 4 6 L R Р 12 M P TTTT 20. DB

Answer 1

16.

In the given triangles,

`\begin{gathered} \angle JLK=\angle PLM\text{ (Vertically Opposite Angle)} \\ \angle LJK=\angle LPM\text{ (Given)} \end{gathered}`

Hence form AA critesion,

`\Delta JLK\approx\Delta PLM`

From the property of similar triangles,

`\begin{gathered} (JK)/(PM)=(JL)/(PL) \\ \Rightarrow(x)/(12)=(4)/(6) \\ \Rightarrow x=8 \end{gathered}`

Thus, the requried value of JK is 8.