# Assignments For Class 9 Mathematics Herons Formula

Assignments for Class 9 Mathematics Herons Formula have been developed for Standard 9 students based on the latest syllabus and textbooks applicable in CBSE, NCERT and KVS schools. Parents and students can download the full collection of class assignments for class 9 Mathematics Herons Formula from our website as we have provided all topic wise assignments free in PDF format which can be downloaded easily. Students are recommended to do these assignments daily by taking printouts and going through the questions and answers for Grade 9 Mathematics Herons Formula. You should try to do these test assignments on a daily basis so that you are able to understand the concepts and details of each chapter in your Mathematics Herons Formula book and get good marks in class 9 exams.

#### Key Concepts for Class 9 Mathematics Herons Formula

Triangle with base ‘b’ and altitude ‘h’ is
Area = 1/2 x (b x h)

Triangle with sides a, b and c
(i) Semi perimeter of triangle s = a+b+c/2
(ii) Area = √s (s – a) (s – b) (s – c) square units.

Equilateral triangle with side ‘a’
Area = √2/4 a2 square units

Trapezium with parallel sides ‘a’ and ‘b’ and the distance between two parallel sides as ‘h’.
Area = 1/2 (a + b) h square units

#### Class 9 Mathematics Herons Formula Important Questions and Answers

Question. An isosceles right triangle has an area 8cm2. The length of its hypotenuse is
(a) √16 cm
(b) √48 cm
(c) √32 cm
(d) √24 cm

Ans.

√32 cm

Question. The sides of a triangle are 56cm, 60cm. and 52cm. long. The area of the triangle is.
(a) 4311 cm2
(b) 4322 cm2
(c) 2392 cm2
(d) None of these

Ans.

None of these

Question. The sides of a triangle are 35cm, 54cm, and 61cm, respectively. The length of its longest altitude is
(a) 26√5 cm
(b) 28 cm
(c) 10√5cm
(d) 24√5 cm

Ans.

24√5 cm

Question. The perimeter of a triangle is 30cm. Its sides are in the ratio 1 : 3 : 2, then its smallest side is.
(a) 15cm
(b) 5cm
(c) 1cm
(d) 10cm.

Ans.

5cm

Question. Find the area of a triangular garden whose sides are 40m., 90m and 70m.
(use √5 = 2.24)

Ans.

1344 sq. m

Question. The area of an isosceles triangle is 12cm2. If one of its equal side is 5cm. Find its base.

Ans.

6cm

Question. Find the area of a triangle, two sides of which are 8cm and 11cm and the perimeter is 32 cm.

Ans.

8√30cm2

Question. Find the area of a right triangle whose sides containing the right angle are 5cm and 6cm.

Ans.

15cm2

Question. The area of an equilateral triangle is 16√3m2. Its perimeter is
(a) 24m
(b) 12m
(c) 306m
(d) 48m

Ans.

24m

Question. Find the area of the adjoin figure if AB ⊥ BC

Ans.

6cm2

Question. The perimeter of a triangular ground is 420m and its sides are in the ratio 6 : 7 : 8. Find the area of the triangular ground.

Ans.

2100√15m2

Question. The diagonals of a rhombus are 24cm and 10cm. Find its area and perimeter.

Ans.

120 sqcm., 52 cm.

Question. Find the cost of leveling a ground in the form of a triangle with sides 16m, 12m and 20m at Rs. 4 per sq. meter.

Ans.

` 384

Question. A rhombus shaped sheet with perimeter 40 cm and one diagonal 12cm, is painted on both sides at the rate of ` 5 per m2. Find the cost of painting.

Ans.

` 960

Question. Two side of a parallelogram are 10cm and 7cm. One of its diagonals is 13cm. Find the area.

Ans.

40√3cm2

Question. The sides of a triangular field are 41m, 40m and 9m. Find the number of flower beds that can be prepared in the field, if each flower bed needs 900cm2 space.

Ans.

2000

Question. An umbrella is made by stitching 10 triangular pieces of cloth of 5 different colour each piece measuring 20cm, 50cm and 50cm. How much cloth of each colour is required for one umbrella? (√6 = 2.45)

Ans.

980 cm2 each

Question. The sides of a quadrilateral ABCD are 6cm, 8cm, 12cm and 14cm (taken in order) respectively, and the angle between the first two sides is a right angle. Find its area.

Ans.

24 (√6 +1)cm2

Question. Calculate the area of the shaded region.

Ans.

1074m2

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

Ans.

32√2cm2

Question. A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non-parallel sides are 14m and 13m, find its area.

Ans.

196 sq. m.

Question. A triangle and a parallelogram have the same base and some area. If the sides of the triangle are 26cm, 28cm and 30cm and the parallelogram stands on the base 28cm, find the height of the parallelogram.

Ans.

12cm

## Assignments for Class 9 Mathematics Herons Formula as per CBSE NCERT pattern

Some advantages of Free Assignments for Class 9 Mathematics Herons Formula

1. Solving Assignments for Mathematics Herons Formula Class 9 helps to further enhance understanding of the topics given in your text book which will help you to get better marks
2. By solving one assignments given in your class by Mathematics Herons Formula teacher for class 9 will help you to keep in touch with the topic thus reducing dependence on last minute studies
3. You will be able to understand the type of questions which are expected in your Mathematics Herons Formula class test
4. You will be able to revise all topics given in the ebook for Class 9 Mathematics Herons Formula as all questions have been provided in the question banks
5. NCERT Class 9 Mathematics Herons Formula Workbooks will surely help you to make your concepts stronger and better than anyone else in your class.
6. Parents will be able to take print out of the assignments and give to their child easily.

All free Printable practice assignments are in PDF single lick download format and have been prepared by Class 9 Mathematics Herons Formula teachers after full study of all topics which have been given in each chapter so that the students are able to take complete benefit from the worksheets. The Chapter wise question bank and revision assignments can be accessed free and anywhere. Go ahead and click on the links above to download free CBSE Class 9 Mathematics Herons Formula Assignments PDF.

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