Question

Given: ABCD is a trapezoid. ΔAYD is congruent to ΔBCY. ABYD is a rhombus. AD=3 and AX=1. Find the length of all sides and diagonals

Answer 1

By Pyth. Thm.
\[DX =\sqrt{3^2-1^2} = \sqrt{8}\]
\[DX = XB = \sqrt{8}\]
\[DB = DX+XB = 2\sqrt8 =4\sqrt2 \]
XY = AX = 1
AY = XY + AX =2
YD = BA = 3
Since ΔAYD is congruent to ΔBCY
CY=YD = BA = 3
DC = CY +YD = 3+3 =6
BC = AY = 2
Done!

Answer 2

Do you understand it?

Answer 3

yes i had my online teacher like th ne who supervises the class look over it and explain. i didnt know he was good at math.