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

Question

TextBasic Proportionality Theorem (Thales Theorem)AA Similarity Criterion for TrianglesBasic Proportionality Theorem (Thales Theorem)AA Similarity Criterion for TrianglesCBSE PYQ

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In the adjoining figure, PQ ∥ XY ∥ BC, AP = 2 cm, PX = 1.5 cm and BX = 4 cm. If QY = 0.75 cm, then AQ + CY =

MCQ (Single)Basic Proportionality Theorem (Thales Theorem)

If a line drawn parallel to one side of triangle intersecting the other two sides in distinct points divides the two sides in the same ratio, then it is parallel to third side. State and prove the converse of the above statement.

TextConverse of Basic Proportionality Theorem