Areas of Parallelograms and Triangles – Class 9.

Chapter 9 of NCERT/CBSE Class 9 is about Areas of parallelograms and Triangles. Here you can find out practice problems for this chapter.

CBSE CLASS 9 MATHEMATICS
Areas of Parallelograms and Triangles – Chapter 9/Sample Papers.
Fill in the blanks:

  1. Two figures are called ————-, if they have the same shape and the same shape.
  2. Parallelograms on the same base and between the same parallels are equal in ————-
  3. ————— of a parallelogram is the product of its base and the corresponding altitude.
  4. Area of a triangle is ——– the product of its base and the corresponding altitude.
  5. A — of a triangle divides it into two triangles of equal areas.
    Answer the following:
  6. A triangle has an area of 24 square units. Base of the triangle is 6cm, find the measure of altitude?
  7. Find the area of a parallelogram whose base is 10 cm and corresponding altitude is 8 cm?
  8. A parallelogram has an area of 45 square cm and base of the parallelogram is 9cm.Find the corresponding altitude of parallelogram?
  9. Find the area of a triangle with base 12 cm and altitude 6 cm?
  10. If a triangle and a parallelogram are on same base and between same parallels, then find the ratio of the area of the triangle to the area of a parallelogram.

ANSWERS:

  1. Congruent
  2. Area
  3. Area
  4. Half
  5. Median
  6. Given area of a triangle = 24 square cm
    Base = 6 cm
    Area of a triangle = ½ bh
    24 = ½ x 6h
    48 = 6h
    h = 48/6 = 8 cm.
  7. Given b = 10 cm, h = 8 cm
    Area of a parallelogram = bh = 10 x 8 = 80 square cm.
  8. Given area of parallelogram = 45 square cm
    Base = 9 cm
    Area = bh
    45 = 9h
    h = 45/9 = 5 cm
  9. Given base = 12 cm and height = 6 cm
    Area of a triangle = ½ bh = ½ x 12 x 6 = 36 square cm.
  10. Ratio of area of the triangle to the area of parallelogram is 1:2.

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