Q11 of 24 Page 296

If the lengths of sides of triangle are 6 cm, 8 cm, and 10 cm, then let us write where the circumcentre of this triangle lies.


Given: lengths of sides of triangle are 6 cm, 8 cm, and 10 cm.


Let AC = 10cm, BC = 8cm and AB = 6cm


To be a right angle triangle,


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


(10)2 = (8)2 + (6)2


100 = 64 + 36


100 = 100


Hence, LHS = RHS


So, it is a right angle triangle.


In a right angle triangle circumcentre lies on hypotenuse.


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