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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.
In the given figure PA, QB and RC are each perpendicular to AC. If AP = x, BQ = y and CR = z, then prove that 1/x + 1/z = 1/y
In the adjoining figure, PQ ∥ XY ∥ BC, AP = 2 cm, PX = 1.5 cm and BX = 4 cm. If QY = 0.75 cm, then AQ + CY =
In the adjoining figure, AD/BD = AE/EC and ∠BDE = ∠CED, prove that △ABC is an isosceles triangle.
In the adjoining figure, △CAB is a right triangle, right angled at A and AD ⊥ BC. Prove that △ADB ~ △CDA. Further, if BC = 10 cm and CD = 2 cm, find the length of AD.
In the adjoining figure, ABCD is a trapezium in which XY ∥ AB ∥ CD. If AX = 2/3 AD, then CY : YB =
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