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Question

ā–³ ABC is a right triangle right angled at A. If AB = 24 cm and AC = 7 cm, then BC =
(a) 31 cm
(b) 17 cm
(c) 25 cm
(d) 28 cm

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Solution

In right traingle ABC,
BC2 = AC2 + AB2
⇒ BC2 = (7)2 + (24)2
⇒ BC2 = 49 + 576
⇒ BC2 = 625
⇒ BC2 = (25)2 2)2
⇒ BC = 25 cm
Hence, the correct answer is option (c).

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