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 Right Triangle Proportions

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Given right triangle ABCABC with altitude \overline{BD}BD drawn to hypotenuse ACAC. If BD=2BD=2 and DC=4,DC=4, what is the length of \overline{AD}?AD? (Note: the figure is not drawn to scale.)

 Mar 18, 2021
edited by Guest  Mar 18, 2021

2+0 Answers

 #1
avatar+128407 
+1

 

 

 

 

 

 

Triangle CDB  is similar to triangle BDA

 

We have  this  relationship

 

CD / BD =  BD / AD

 

4 / 2  =  2 /  AD           cross-multiply

 

4AD  =   4

 

AD  =  1

 

cool cool cool

 Mar 18, 2021
 #2
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Given right triangle ABCABC with altitude \overline{BD}BD drawn to hypotenuse ACAC. If BC=12BC=12 and DC=3,DC=3, what is the length of \overline{AC}?AC? (Note: the figure is not drawn to scale.)

 Mar 18, 2021

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