Answered

Discover the best answers at Westonci.ca, where experts share their insights and knowledge with you. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.

what is the area of xyz

Sagot :

Triangle MNP is similar to triangle XYZ, so ratio of corresponding are equal.

[tex]\frac{MN}{XY}=\frac{NP}{YZ}[/tex]

Subtitute the length of sides in the equation to determine the side XY.

[tex]\begin{gathered} \frac{16}{XY}=\frac{12}{3} \\ XY=\frac{16}{4} \\ XY=4 \end{gathered}[/tex]

Determine the area of triangle XYZ.

[tex]\begin{gathered} A=\frac{1}{2}\cdot XY\cdot YZ \\ =\frac{1}{2}\cdot4\cdot3 \\ =\frac{12}{2} \\ =6 \end{gathered}[/tex]

So area of triangle XYZ is 6 square units.

Option A is correct answer.

Thanks for stopping by. We are committed to providing the best answers for all your questions. See you again soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.