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 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 :
The diagonal BD of parallelogram ABCD is divided by segment AE in the ratio 1 : 2. If BE = 1.8 cm, find the length of AD.
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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