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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.
If AD and PM are medians of triangles ABC and PQR respectively where △ABC ~ △PQR, prove that AB/PQ = AD/PM
In the given figure, if PQ ∥ RS, then prove that △ POQ ~ △ SOR.
In the given figure, △ OSR ~ △ OQP, ∠ROQ = 125° and ∠ORS = 70°. Find the measures of ∠OSR and ∠OQP.
D is a point on side BC of △ ABC such that ∠ ADC = ∠ BAC. Prove that (CA)² = CB . CD.
A vertical pole of height 10 m casts a shadow of 15 m on the ground and at the same time, a tower casts a shadow of 45 m on the ground. Find the height of the tower.
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