If a line is drawn to one side of a tria...

`If a line is drawn to one side of a triangle to intersect the other two sides in distinct points, prove that the other two sides are divided in the same ratio.

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If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points. Prove that the other two sides are divided in the same ratio.

Prove that if a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, then the other two sides are divided in the same ratio.

If a line is drawn parallel to the base of an isosceles triangle to intersect its equal sides, prove that the quadrilateral, so formed is cyclic.

If two sides of a cyclic quadrilateral are parallel , prove that the other two sides are equal

Theorem 6.2 : If a line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

The line drawn through the mid-point of one side of a triangle, parallel to another side, intersects the third side at its mid-point.

If circles are drawn taking two sides of a triangle as diameters, prove that the point ofintersection of these circles lie on the third side

The longest side of a right angled triangle is 4cm longer than one side and 2 cm longer than the other side. Find the longest side.

If circles are drawn taking two sides of a triangle as diameters, prove that the point of intersection of these circles lie on the third side

One angle of a triangle is equal to one angle of another triangle and the bisectors of these two equal angles divide the opposite sides in the same ratio, prove that the triangles are similar.

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