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.
From the figures given below, which of the following is true about the measure of ∠P ?
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 triangular window of a building is shown above. Its diagram represents a △ABC with ∠A = 90° and AB = AC. Points P and R trisect AB and PQ || RS || AC. Based on the above, answer the following questions:
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