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A parallelogram is divided into two cong...

A parallelogram is divided into two congruent triangles by drawing a diagonal acros sit. Can we divide a trapezium into two congruent triangles?

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Take any quadrilateral, say ABCD , Divide it into two triangles, by drawing a diagonal. You get six angles 1,2,3,4,5 and 6. Use the angle sum property of a triangle and argue how the sum of the measures of and amount to 180^@ + 180^@ = 360^@ .

A cone of radius 10 cm is divided into two parts by drawing a plane through mid-point of its axis parallel to the base. Compare the volume of the two parts.

The length of one diagonal of a parallelogram is 8 cm. and height of each of the triangles whose common base is the given diagonal of the parallelogram is 4 cm. Find the area of the parallelogram.

Prove that in two similar triangles the ratio of corresponding sides is equal to the ratio of the corresponding altitudes.

the two triangles formed by drawing perpendicular from right angle to the hypotenuse of a right angled triangle are similar and both of them are similar to the original triangle.

If one angle of a triangle is equal to one angle of another triangle and the bisectors of these equal angles divide the opposite side in the same ratio then show that the triangle are similar.

If cosines of two angles of a triangle are proportional to the opposite sides, show that the triangle is isosceles

Divide 78 into two numbers such that one of them is the double of the other.

If a line drawn parallel to one side of an acute angle triangle to intersect the other two sides at two distinct points ,then using trigonometric ratios prove that the other two sides are divided in the same ratio.

Corresponding sides of two similar triangles are in the ratio 2:3 . If the area of the similar triangle is 48 cm^2 , find the area of the larger triangle.

ASHOK PUBLICATION ASSAM-Mensuration-EXAMPLE
  1. Find the area of the following

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  2. We know that parallelogram is also a quadrilateral. Let us also split ...

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  3. A parallelogram is divided into two congruent triangles by drawing a d...

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  4. Find the area of these quadrillaterals.

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  5. Find the area of these quadrillaterals.

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  6. Why is it incorrect to call the solid shown here a cylinder?

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  7. Can we say that the total surface area of cuboid = lateral surface are...

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  8. If we interchange the lenths of the base and the height of a cuboid to...

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  9. If we interchange the lenths of the base and the height of a cuboid to...

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  10. Find the surface area of cube A and lateral surface area of cube B.

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  11. Two cubes each with side b are joined to form a cuboid. What is the su...

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  12. Find total surface area of the following cylinders.

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  13. Note that lateral surface area of a cylinder is the circumference of b...

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  14. Take a sheet of paper. Measure its area. Pile up such sheets of paper ...

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  15. Find the volume of the following cuboids.

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  16. Find the volume of the following cubes. with a side 4 cm

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  17. Find the volume of the following cubes. with a side 1.5 m

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  18. A company sells biscuitws. For packing purpose they are using cuboidal...

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  19. Find the volume of the following cylinders.

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  20. Find the volumne of the following cylinders.

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