Triangles (10)

Similar triangles.

DE II BC. Find the length of side AD, given that AE = 1.8 cm

DE II BC. Find the length of side AD, given that AE = 1.8 cm, BD = 7.2 cm and CE = 5.4 cm. 

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Two right triangles ABC and DBC are drawn on the same hypotenuse BC

Two right triangles ABC and DBC are drawn on the same hypotenuse BC and on the same side of BC. If AC and BD intersect at P, prove that AP × PC =

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Observe the figures given below carefully and answer the questions

Observe the figures given below carefully and answer the questions

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In the adjoining figure, A, B and C are points on OP, OQ and OR

In the adjoining figure, A, B and C are points on OP, OQ and OR respectively such that AB || PQ and AC || PR. Show that BC| | QR.

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In an equilateral $\triangle$ ABC, D is a point on side BC such that BD

In an equilateral Δ ABC, D is a point on side BC such that BD = $\frac{1}{3}$ BC.  Prove that 9(AD)2 = 7(AB)2

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If the area of two similar triangles are equal, prove that they are congruent

If the area of two similar triangles are equal, prove that they are congruent.

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Prove that the area of an equilateral triangle described on one side of the square is equal

Prove that the area of an equilateral triangle described on one side of the square is equal to half the area of the equilateral triangle

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Given $\Delta ABC \sim \Delta PQR$, if $\frac{AB}{PQ} =\frac{1}{3}$

Given $ \Delta ABC \sim \Delta PQR, if \frac{AB}{PQ} = \frac{1}{3}$, then find $\frac{ar\Delta ABC}{ar\Delta PQR}$

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Diagonals of a trapezium PQRS intersect each other at the point O

Diagonals of a trapezium PQRS intersect each other at the point O, PQ II RS and PQ = 3RS. Find the ratio of the areas of triangles POQ and

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ABC is an isosceles triangle right angled at C with AC = 4 cm

 ABC is an isosceles triangle right angled at C with AC = 4 cm. Find the length of AB. 

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