3. The proof of the following theorems can be asked in the examination : (i) Basic Proportionality Theorem : If a line is drawn parallel to one side of a triangle to intersect the other sides in distinct points, the other two sides are divided in the same ratio. (ii) The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. (iii) Pythagoras Theorem : In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
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