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.
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 :
In a △ ABC, P and Q are points on AB and AC respectively such that PQ || BC. Prove that the median AD, drawn from A to BC, bisects PQ.
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