+0  
 
+1
119
4
avatar+781 

https://web2.0calc.com/questions/help-with-proof

 

I found this and everything makes sense.

 

But I don't understand how CPhill got to 2xh  + 2yh   =  2ab . I tried working out and expanding the given equation in the problem and using the triangle similarity he provided in an attempt to get what he got, but I don't understand how. Does anyone understand and can explain this part to me? Thank you!

 Jul 6, 2020
 #1
avatar
-1

You can use the area formula.

 Jul 6, 2020
 #2
avatar+781 
0

I asked for how CPhill got that expression...

 

Can anybody else help?

gwenspooner85  Jul 6, 2020
edited by gwenspooner85  Jul 6, 2020
 #3
avatar+21953 
+1

In the original post, there was this equation:  

   x2 + 2xh + h2 + y2 + 2yh + h2  =  x2 + h2 + 2ab + y2 + h2

Subtract x2, h2, y2, and h2 from both sides and you are left with:  2xh + 2yn  =  2ab

 Jul 6, 2020
 #4
avatar+781 
+1

Oh I see...I didn't see the OP's working. However, I don't understand how the equation leading back to h/a=b/(x+y) proves that (x+h)^2+(y+h)^2=(a+b)^2.

gwenspooner85  Jul 6, 2020
edited by gwenspooner85  Jul 6, 2020

11 Online Users

avatar