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ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC. - Mathematics

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Question

ABC is a triangle right angled at C. If AB = 25 cm and AC = 7 cm, find BC.

Sum

Solution

By applying Pythagoras theorem in ΔABC,

(AC)2 + (BC)2 = (AB)2

(BC)2 = (AB)2 − (AC)2

(BC)2 = (25)2 − (7)2

(BC)2 = 625 − 49

(BC)2 = 576

∴ BC = 24 cm

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Chapter 6: The Triangle and its Properties - Exercise 6.5 [Page 130]

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NCERT Mathematics [English] Class 7
Chapter 6 The Triangle and its Properties
Exercise 6.5 | Q 2 | Page 130

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