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

Given: AB = 25 cm, AC = 7 cm
Let BC be x cm.
In right angled triangle ACB,
(Hypotenuse)² = (Base)² + (Perpendicular)² [By Pythagoras theorem]
⇒ (AB)² = (AC)² + (BC)²
⇒ (25)² = (7)²
⇒ 625 = 49 + x²
⇒ x² = 625 – 49 = 576
⇒ x² = √576 = 24 cm
Thus, the length of BC is 24 cm.

Class 7 Maths Chapter 6 Exercise 6.5

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