Question

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ABC is a right-angled triangle and O is the midpoint of the side opposite to the right angle. Explain why O is equidistant from A, B and C.

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Answer 1

Answer:

Opposite sides are parallel and equal to each other and all the interior angles are right angles. The property of rectangle states that the diagonals are of equal length and bisect each other. Hence, AO = OC = BO = OD. Thus, O is equidistant from A, B and C.

Step-by-step explanation:

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Answer 2

☘Solution:-

Draw lines

AD and DC such that AD||BC, AB||DC

AD = BC, AB = DC

ABCD is a rectangle form property opposite sides are equal and parallel to each other and all

the interior angles are of 90°.

In a rectangle, again property diagonals are of equal length and also these bisect each other.

Hence, AO = OC = BO = OD

So, O is equidistant from A, B, and C.1$\:$