## The model of a building is constructed with the scale factor 1:30. (i) If the height of the model is 80 cm, find the actual height of the building in metres. (ii) If the actual volume of a tank at the top of the building is 27m3 , find the volume of the tank on the top of the model

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This is one of the basic and conceptual question from similarity of triangles chapter in which (i) If the height of ...Read more

## On a map drawn to scale of 1 : 2,50,000 a rectangular plot of land ABCD has the following measurement AB = 12 cm, BC = 16 cm angles A, B, C, and D are 900 each. Calculate: (i) The diagonal distance of the plot of land

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A basic question from similarity chapter in which we have been asked to Calculate the diagonal distance of the plot ...Read more

## On map drawn to a scale of 1 : 250000, a triangular plot of land has the following measurements, AB = 3 cm, BC = 4 cm, ∠ABC = 90 ̊. Calculate : (i) The actual length of AB in kms. (ii) The area of plot in sq. kms.

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Sir please give me a detailed solution of this question as I find it little tricky as we have to calculate ...Read more

## Two isosceles triangles have equal vertical angles and their areas are in the ratio 7:16. Find the ratio of their corresponding height

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A basic and conceptual question from similarity chapter in which we have been asked to find the ratio of their ...Read more

## ABC is a right angled triangle with ∠ABC=90 o . D is any point on AB and DE is perpendicular to AC. Prove that : (i) △ADE∼△ACB. (ii) If AC=13cm, BC=5cm and AE=4cm. Find DE and AD. (iii) Find, area of △ADE: area of quadrilateral BCED

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This is the basic and conceptual question from similarity chapter in which we are to Prove that : (i) △ADE∼△ACB. (ii) If ...Read more

## In the figure given below, ∠ABC=∠DAC and AB=8cm,AC=4cm,AD=5cm. (i) Prove that △ACD is similar to △BCA (ii) Find BC and CD (iii) Find the area of △ACD : area of △ABC.

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This is the basic and conceptual question from similarity chapter in which we are to (i) Prove that △ACD is similar to △BCA (ii) ...Read more

## In the figure, given below, ABCD is a parallelogram. P is a point on BC such that BP : PC = 1 : 2. DP produced meets AB produces at Q. Given the area of triangle CPQ = 20 cm2. Calculate: (i) area of triangle CDP, (ii) area of parallelogram ABCD.

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In  the given figure we have been asked to find (i) area of triangle CDP, (ii) area of parallelogram ABCD. Given that P ...Read more

## ABCD is a trapezium in which AB| | DC and AB = 2CD. The diagonals AC and BD meet at O. Determine the ratio of areas of triangles AOB and COD.

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In the given figure we have been asked to find the area of triangle if ABCD is a trapezium in ...Read more

## In ΔABC, AP : PB = 2 : 3. PO is parallel to BC and is extended to Q so that CQ is parallel to BA. Find: (i) area ΔAPO : area Δ ABC. (ii) area ΔAPO : area Δ CQO.

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In ΔABC, AP : PB = 2 : 3. PO is parallel to BC and is extended to Q so ...Read more

## In the given figure, ABC is a triangle. DE is parallel to BC and AD/DB = 3/2 (i) Determine the ratios AD/AB and DE/BC (ii) Prove that ΔDEF is similar to ΔCBF Hence, find EF/FB. (iii) What is the ratio of the areas of ΔDEF and ΔBFC

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In the given figure, ABC is a triangle. DE is parallel to BC and AD/DB = 3/2 (i) Determine the ratios ...Read more