Question

Triangle ABC is right angled at C. If AB = 25 cm , AC = 7 cm then BC is a) 14 cm b) 24 cm c) 13 cm d) none​

Answer 1

Answer:

In triangle ACB, By Pythagoras theorem, (Hypotenuse)2 = (Perpendicular)2 + (Base)2

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

(25)2 = (7)2 + (BC)2

625 = 49 + (BC)2

(BC)2 = 625 – 49

(BC)2 = 576

BC = 24 cm

Thus, BC is equal to 24cm