2. ABC is a triangle, right-angled at C. If \small AB = 25\hspace{1mm} cm and \small AC = 7\hspace{1mm} cm, find BC.
 

Answers (1)

As we know, 

In a Right-angled Triangle: By Pythagoras Theorem,

(Hypotenus)^2=(Base)^2+(Perpendicular)^2

As ABC is a right-angled triangle with 

Base = AC= 7 cm.

Perpendicular = BC

Hypotenuse = AB = 25 cm

So, By Pythagoras theorem,

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

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

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

(BC)^2=625-49

(BC)^2= 576

BC= 24

Hence, Length od BC is 24 cm.

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