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Byju's Answer
Standard IX
Mathematics
Mathematical Statements
ABC is a righ...
Question
ā³ 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,
BC
2
= AC
2
+ AB
2
⇒ BC
2
= (7)
2
+ (24)
2
⇒ BC
2
=
49 + 576
⇒ BC
2
= 625
⇒ BC
2
= (25)
2
2
√
)
2
⇒ BC = 25 cm
Hence, the correct answer is option (c).
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Mark (ā) against the correct answer
āABC is 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