Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm is

Question

Length of one of the diagonals of a rectangle whose sides are 10 cm and 24 cm is
a) 25 cm
b) 20 cm
c) 26 cm
d) 3.5 cm

Answer:
:

Δ B C D

∠ B D C = 90^{\circ}

∴

Using Pythagoras theorem,

B C^{2} = B D^{2} + C D^{2}

\Rightarrow B C^{2} = 10^{2} + 24^{2} = 100 + 576 \Rightarrow B C^{2} = 676 \Rightarrow B C = \sqrt{676} \Rightarrow B C = 26 c m

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