Answered

At Westonci.ca, we make it easy to get the answers you need from a community of informed and experienced contributors. Get detailed and accurate answers to your questions from a dedicated community of experts on our Q&A platform. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

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

Sagot :

16.

In the given triangles,

[tex]\begin{gathered} \angle JLK=\angle PLM\text{ (Vertically Opposite Angle)} \\ \angle LJK=\angle LPM\text{ (Given)} \end{gathered}[/tex]

Hence form AA critesion,

[tex]\Delta JLK\approx\Delta PLM[/tex]

From the property of similar triangles,

[tex]\begin{gathered} \frac{JK}{PM}=\frac{JL}{PL} \\ \Rightarrow\frac{x}{12}=\frac{4}{6} \\ \Rightarrow x=8 \end{gathered}[/tex]

Thus, the requried value of JK is 8.

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed by returning for our latest expert advice.