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What is the length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm?

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25 cm

20 cm

26 cm

3.5 cm

answer is C.

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Detailed Solution

Using Pythagoras theorem as the interior angle of rectangle is

90 ∘

B C 2 = B D 2 + C D 2 ⇒ B C 2 = (10) 2 + (24) 2 ⇒ B C 2 = 100 + 576 ⇒ B C 2 = 676 ⇒ B C = 676 ⇒ B C = 26 c m

So, the length of one of the diagonals of a rectangle is 26 cm.
Hence option 3 is correct.

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