Q9 of 53 Page 156

In rhombus XYZW, XZ = 14 and YW = 48. Find XY.

9-2.JPG


XZ = 14


⇒ XO = 7


YW = 48


⇒ YO = 24


Since Diagonals of a Rhombus bisect at Right angles,


So we apply Pythagoras theorem in ΔXOY


XY2 = XO2 + YO2


⇒ XY2 = 49 + 576 = 625


⇒ XY = 25 units


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