Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly 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 platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thank you for your visit. We're committed to providing you with the best information available. Return anytime for more. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.