In quadrilaterals rectangle ABCD in which BD= 41 ,BC = 40 Find CD.
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Answer:
Given :
ABCD is a rectangle where BD = 41 cm, BC = 40 cm.
To Find :
BD
Solution :
BD = 41 cm
BC = 40 cm
CD = ?
let CD be x
By Pythagoras theorem,
(BD)² = (BC)² + (CD)²
(41)² = (40)² + (x)²
1681 = 1600 + x²
1681 - 1600 = x²
81 = x²
x = 9 (as 81 is the square of 9)
Therefore, CD = 9.
Hope this helps you!
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CD= 9
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