:) 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?
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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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