[PDF] CLASS IX MATHEMATICS WORKSHEET CH-12 “HERONS





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Page 1 |Class IX | Maths

CLASS IX

MATHEMATICS WORKSHEET

CH-12 HERON'S FORMULA

VERY SHORT ANSWER TYPE QUESTIONS

Q.2 Find the area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm.

Q.3 How many times area is changed, when sides of a triangle are doubled.

SHORT ANSWER TYPE QUESTIONS

Q.4 If the perimeter of an isosceles triangle is 11 cm and its base is 5cm, its area is ହ or false and give reason.

Q.6 The cost of levelling a ground in the form of a triangle having the sides 51m, 37m, and 20m at the

Q.7 The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3: 2. Find the

area of the triangle.

Q.8 The lengths of the sides of a triangle are 7 cm, 13 cm and 12 cm. Find the length of perpendicular

from the opposite vertex to the side whose length is 12 cm.

LONG ANSWER TYPE QUESTIONS

Q.9 The lengths of two adjacent sides of a parallelogram are 17 cm and 12 cm. One of its diagonals is 25

cm long. Find the area of the parallelogram. Also find the length of altitude from vertex on the side

of length 12 cm.

Q.10 The perimeter of a triangle is 50 cm. One side of a triangle is 4 cm longer than the smaller side and

the third side is 6 cm less than twice the smaller side. Find the area of the triangle.

Page 2 |Class IX | Maths

Q.11 The area of a trapezium is 475 ܿ

one side is 4 cm greater than the other.

Q.12 If each side of a triangle is doubled, then find the ratio of area of new triangle thus formed and the

given triangle. Q.13 Find the area of quadrilateral ABCD in the given figure below:

Q.14 In the given figure, ο#$% is equilateral triangle with side 10 cm and ο&$% is right angled at D. If

ANSWERS

3. Four times 4. True

5. 24 cm 6. True

11. 23 cm, 27 cm 12. 4:1

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