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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 11and DC = 4, what is the length of BC in simplest radical form? 

 Mar 4, 2021
 #1
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AB = 10since ABC is a 6-8-10 triangle. 6^2 = 10x

3.6 = x

 

AD        AB

----   =  ------

AB        AC

 Mar 4, 2021
 #2
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Given a right triangle ABC with altitude BD drawn to hypotenuse AC. If AC = 11and DC = 4, what is the length of BC in simplest radical form? 

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AC = 11         DC = 4        BC => x

 

x/11 = 4/x

 

x2 = 44       x = √44        

 

BC = 2√11

 Mar 5, 2021

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