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A cuboid has a diagonal of length 9cm and a square base o...

A cuboid has a diagonal of length 9cm and a square base of side 4cm. What is its height?

A.

9cm

B.

65cm

C.

42cm

D.

7cm

E.

6.5cm

Correct answer is B

Given a cuboid, the diagonal cuts a face of the cuboid into 2 right-angled triangles.

Hence, using the Pythagoras theorem, we have

92=42+x2

81=16+x2

x2=8116=65