Answered

Discover a world of knowledge at Westonci.ca, where experts and enthusiasts come together to answer your questions. Discover a wealth of knowledge from experts across different disciplines on our comprehensive Q&A platform. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

What are the values of x and y?

What Are The Values Of X And Y class=

Sagot :

linandrew41

Based on AA Theorem, which says that if the two given angles of both triangles are equal, then they are similar, in this case, triangle ADB and triangle BDC are similar.  

If two triangles are similar, that means their side length are proportional.

Let us first solve for x:

   [tex]\frac{BD}{DC} =\frac{AD}{DB} \\\frac{9}{x} =\frac{12}{9} \\12x = 81\\x = 6.75\\\\[/tex]

Now using the pythagorean theorem, we get that

   [tex]y^{2} =x^{2} +9^2 = 6.75^2+9^2=126.5625\\y = \sqrt{156.5625} \\y=11.25[/tex]

So x = 6.75 and y = 11.25

Hope that helps!

   

Thanks for using our service. We aim to provide the most accurate answers for all your queries. Visit us again for more insights. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.