Math, asked by krishnanrnair6647, 1 year ago

The diagonals XZ and WY of rectangle XYZW intersect in point M. If l(XZ) = 8 cm, then l(XM) and l(YM).

Answers

Answered by amitnrw
2

Answer:

XM = 4 cm

YM =  4 cm

Step-by-step explanation:

XYZW is a rectangle

XZ & WY are diagonals

XZ & WY intersects at M

=> XZ = XM + ZM

& WY = YM + WM

Diagonals of a rectangle are equal & they bisect each other

=> XM = ZM  = YM = WM

XZ = XM + XM

=> XZ = 2XM

=> XM = XZ/2

=> XM = 8/2

=> XM = 4 cm

YM = XM = 4 cm

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