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Question 2
ABC is a triangle, right angled at C. If AB = 25 cm and AC = 7 cm, find BC.


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Solution

Given: AB = 25 cm, AC =7cm
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+x2625=49+x2x2=62549=576x=576=24 cm
Thus, the length of BC is 24cm


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