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Question

Mathematics Question on Right-Angled Triangles And Pythagoras Property

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

Answer

Triangle ABC
By applying Pythagoras theorem in Δ  ABCΔ\;ABC,

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

(BC)2=(AB)2(AC)2(BC)^2= (AB)^2- (AC)^2

(BC)2=(25)2(7)2(BC)^2= (25)^2- (7)^2

(BC)2(BC)^2 = 62549=576625 - 49 = 576

BC=24BC = 24 cmcm