ength of diagonals of a cube of side a cm is a)√3 a cm b)√2a cm c)√5 a cm d)√a cm
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ength of diagonals of a cube of side a cm is a)√3 a cm b)√2a cm c)√5 a cm d)√a cm
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Step-by-step explanation:
As the diagonals of a square are perpendicular bisector of each other applying Pythagoras theorem in △ABC
H2=P2+B2
a= side of the square
AB=AC=a
AC2=a2+a2=2a2
AC=2a
In △ACD
AC2+CD2=AD2
AD=2a2+a2=3a which is the diagonal
3a=152
a=56