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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, then prove that the other two sides are divided in the same ratio.
State the converse of "Basic Proportionality Theorem" and use it to prove the following : Line segment joining mid-points of any two sides of a triangle is parallel to the third side.
In the given figure, if DE || BC, AD = 1·5 cm, DB = 3 cm and EC = 2 cm, the length of AC is :
State and prove "Basic Proportionality Theorem."
In the given figure, CM and RN are respectively, the medians of △ ABC and △ PQR. If △ ABC ~ △ PQR, prove that : (i) △ AMC ~ △ PNR (ii) ∠ BCM = ∠ QRN (iii) △ BMC ~ △ QNR
In △ ABC, PQ || BC. It is given that AP = 2.4 cm, PB = 3.6 cm and BC = 5.4 cm. PQ is equal to :
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