Given: AB = 25 cm and AC = 7 cm To Find: BC According to Pythagoras theorem, In a right angled triangle: (Hypotenuse)2 = (Perpendicular)2 + (Base)2 By applying Pythagoras theorem in ABC, we get: (AB)2 = (AC)2 + (BC)2 (BC)2 = (AB)2 - (AC)2 (BC)2 = (25)2 – (7)2 (BC)2 = 625 – 49 (BC)2 = 576 Hence, BC = √576 cm BC = 24 cm

Q. 24.4( 146 Votes )

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Class 7th NCERT Mathematics 6. The Triangle and its Properties

Answer :

Given: AB = 25 cm and AC = 7 cm

To Find: BC

According to Pythagoras theorem, In a right angled triangle:

(Hypotenuse)² = (Perpendicular)² + (Base)²

By applying Pythagoras theorem in ABC, we get:

(AB)² = (AC)² + (BC)²

(BC)² = (AB)² - (AC)²

(BC)² = (25)² – (7)²

(BC)² = 625 – 49

(BC)² = 576

Hence,

BC = √576 cm

BC = 24 cm

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