6. ABC is a right-angled triangle and O is the mid point of the side opposite to the right angle. Explain why O is equidistant from A, B and C. (The dotted lines are drawn additionally to help you).

Answers (1)

Draw line AD and DC such that AB \parallel CD and AD \parallel BC.

    AD= BC and AB= CD

ABCD is a rectangle as it has opposite sides equal and parallel.

All angles of rectangle are 90\degree and rectangle has two diagonals equal and bisect each other.

Hence, AO = BO = CO = DO

\therefore O is equidistant from A,B,C,D.

 

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