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Given the right triangles $ABC$ and $ABD$, what is the length of segment $BC$, in units?

 

 Sep 9, 2023

Best Answer 

 #1
avatar+570 
+1

 

We will use Pythagoras' Theorem to solve for AB.  

Actually, we won't even find AB, all we need is AB2.  

Then we will use it again to solve for BC.  

 

AB2  =  172 – 72  =  289 – 49  =  240    

 

BC2  =  AB2 + AC2  =  240 + 32  =  249   

 

BC  =  sqrt(249)  =  15.78    

.

 Sep 10, 2023
 #1
avatar+570 
+1
Best Answer

 

We will use Pythagoras' Theorem to solve for AB.  

Actually, we won't even find AB, all we need is AB2.  

Then we will use it again to solve for BC.  

 

AB2  =  172 – 72  =  289 – 49  =  240    

 

BC2  =  AB2 + AC2  =  240 + 32  =  249   

 

BC  =  sqrt(249)  =  15.78    

.

Bosco Sep 10, 2023

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