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Which statement is true of the diagram below?
 

i think it is D can some one cofirm this 

 

A.XY > YZ

B.WY = WZ

C.WX < YZ

D.XY = YZ

 Jul 25, 2019
 #1
avatar+1599 
+1

You are wrong.

 Jul 25, 2019
 #2
avatar
0

Then is it A

Guest Jul 26, 2019
 #4
avatar+1599 
+1

Yeah I think so

tommarvoloriddle  Jul 26, 2019
 #3
avatar+8778 
+5

Here's a graph you can play with:  https://www.desmos.com/calculator/wy7dptwaij

 

To start with, both angles are set at  38°  so both triangles are congruent (by SAS congruency).

 

Try changing the slider for  b  to make that angle bigger and see what happens to the length of  YX

 

And note that the lengths of  WX  and  WZ  stay constant.

 

*edit*

 

Here is a new graph with calculation for the lengths of  ZY and  XY  and a slider for the length of  WY  (in the folder):

 

https://www.desmos.com/calculator/xfphvzq2jt

 Jul 26, 2019
edited by hectictar  Jul 26, 2019
edited by hectictar  Jul 26, 2019
 #5
avatar
+1

so it is A

Guest Jul 26, 2019
 #6
avatar+105468 
+4

Try drawing the two triangles together.  They have 2 sides that are the same length.

 

 

Both have the same base.   WX=WZ

Both have an adjoining side that is the same length. Shown by the arc.

If i make the angle between them bigger, what happens to the third side?

 

 Jul 26, 2019
 #7
avatar
+1

oh thank you i get it now

Guest Jul 26, 2019
 #8
avatar+104688 
+2

Deleted......

 

 

cool cool cool

 Jul 26, 2019
edited by CPhill  Jul 27, 2019
 #9
avatar+8778 
+3

Did you mean:

 

(ZY)2 + 2(WY)(WZ) cos(38°)  =  (XY)2 + 2(WY)(WZ) cos(41°)

 

and     cos(41°)  <  cos(38°)

 

so       | ZY |  <  | XY |

 

???? smiley

hectictar  Jul 26, 2019
edited by hectictar  Aug 4, 2019

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