Answered

Welcome to Westonci.ca, the place where your questions find answers from a community of knowledgeable experts. Connect with a community of experts ready to help you find accurate solutions to your questions quickly and efficiently. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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!

   

We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We're dedicated to helping you find the answers you need at Westonci.ca. Don't hesitate to return for more.