Answered

From personal advice to professional guidance, IDNLearn.com has the answers you seek. Ask your questions and receive detailed and reliable answers from our experienced and knowledgeable community members.

What are the values of x and y?

What Are The Values Of X And Y class=

Sagot :

Linandrew41idn

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!

   

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for choosing IDNLearn.com for your queries. We’re committed to providing accurate answers, so visit us again soon.