Q. 11 A4.0( 4 Votes )

# 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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