Q3 of 33 Page 40

If circles are drawn with each side of a triangle of sides 5 centimetres, 12 centimetres and 13 centimetres, as diameters, then with respect to each circle, where would be the third vertex?

Let, ABC be a triangle with sides AB= 12cm BC = 5cm and AC = 13cm


Case 1: Let us draw a circle considering AB = 12cm as a diameter. From fig (a)



Then, point C lies outside the circle.


Case 2: Let us draw a circle considering BC = 5cm as a diameter. From fig (b)



Then, point A lies outside the circle.


Case 3: Let us draw a circle considering AC = 13cm as a diameter. From fig (c)


Then, point B lies outside the circle.



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