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In a right-angled triangle, the hypotenuse is always greater than any of the two sides of the triangle. Hence, the length of the tangent from the external point P to a circle with centre O is always less than OP.
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E, and Fare the mid-points of the sides AB, BC, and AC respectively. (a) Prove that AADF = ADBE = AEFD= AFEC (b) Find the area of ADEF. A B E C
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