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Standard VII
Mathematics
Question

Draw a right triangle and the perpendicular from the midpoint of the hypotenuse to the base.
i) Prove that this perpendicular side of the large triangle.
ii) Prove that in the large triangle, the distances from the midpoint of the hypotenuse to all the vertices are equal.
iii)Prove that the circumcentre of a right triangle is the midpoints of its hypotenuse.

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