+0

# i need help confirming this sorry for the bother and thx

0
305
9

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
+1709
0

You are wrong.

Jul 25, 2019
#2
0

Then is it A

Guest Jul 26, 2019
#4
+1709
0

Yeah I think so

tommarvoloriddle  Jul 26, 2019
#3
+8966
+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
+1

so it is A

Guest Jul 26, 2019
#6
+110163
+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
+1

oh thank you i get it now

Guest Jul 26, 2019
#8
+111438
+2

Deleted......

Jul 26, 2019
edited by CPhill  Jul 27, 2019
#9
+8966
+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 |

????

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