Mathematics
The sides of a rectangle are 12 cm and 16 cm. The length of its diagonal is:
28 cm
4 cm
cm
cm
Pythagoras Theorem
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Answer
ABCD is a rectangle such that AB = 16 cm and BC = 12 cm.
Join AC. AC is a diagonal of the rectangle ABCD.
According to Pythagoras theorem, in a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
⇒ Hypotenuse2 = Base2 + Height2
In triangle ABC,
⇒ AC2 = AB2 + BC2
⇒ AC2 = 162 + 122
⇒ AC = cm
Hence, option 3 is the correct option.
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