❑XYZW is a rectangle. If XY + YZ = 7 and XZ + YW = 10, then find XY.
Answers
Answered by
8
Answer:
XY=3or4
Step-by-step explanation:
XY+YZ=7
XZ+YW=10
XZ=5(diagonals are equal)
by Pythagoras thm,
XZ^2=xy^2+yz^2
=(xy+yz)^2-xy*yz
5^ 2= 7^2-xy*yz
xy*yz=49-25
xy*yz=24,but xy+yz=7
solving these equation, we get xy=3 or 4
Answered by
0
ferdin give right answer...............
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