Q10 of 46 Page 1

If A(4, 3), B( - 1, y) and C(3, 4) are vertices of a right triangle ABC, right - angled at A, then find the value of y.

As ABC is a right angled triangle it should verify the Pythagoras theorem.


i.e.


(hypotenuse)2 = (base)2 + (perpendicular)2


As triangle is right angled at a


Hypotenuse will be BC


So,


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


By using distance formula i.e




1 + 1 + 25 + y2 - 6y + 9 = 16 + 16 + y2 - 8y


2y + 36 = 32


2y = - 4


y = - 2


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