If 12 (20) 16 and 21 (35) 28, then what is value of A in 48 (80) A ?

50

56

64

72

As,
$\sqrt{12^{2} + 16^{2}} = \sqrt{144 + 256} = \sqrt{400} = 20 \sqrt{21^{2} + 28^{2}} = \sqrt{441 + 784} = \sqrt{1225} = 35$
Similarly,
$\sqrt{48^{2} + A^{2}} = 80 2304 + A^{2} = 6400 A^{2} = 6400 - 2304 = 4096 A = 64$

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If 12 (20) 16 and 21 (35) 28, then what is value of A in 48 (80) A ? 50 56 64 72

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Reasoning - Verbal

If 12 (20) 16 and 21 (35) 28, then what is value of A in 48 (80) A ?

50

56

64

72