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 a^{2} 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** Assignments

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

**Question. An isosceles right triangle has an area 8cm ^{2}. 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 cm^{2}

(b) 4322 cm^{2}

(c) 2392 cm^{2}

(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 12cm^{2}. 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√30cm^{2}

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

**Ans.**

15cm^{2}

**Question.** The area of an equilateral triangle is 16√3m^{2}. 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.**

6cm^{2}

**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√15m^{2}

**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 m^{2}. 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√3cm^{2}

**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 900cm^{2} 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 cm^{2} 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)cm^{2}

**Question.****Calculate the area of the shaded region.**

**Ans.**

1074m^{2}

**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√2cm^{2}

**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

All students studying in Grade 9 Mathematics Herons Formula should download the assignments provided here and use them for their daily routine practice. This will help them to get better grades in Mathematics Herons Formula exam for standard 9. We have made sure that all topics given in your textbook for Mathematics Herons Formula which is suggested in Class 9 have been covered ad we have made assignments and test papers for all topics which your teacher has been teaching in your class. All chapter wise assignments have been made by our teachers after full research of each important topic in the textbooks so that you have enough questions and their solutions to help them practice so that they are able to get full practice and understanding of all important topics. Our teachers at https://www.assignmentsbag.com have made sure that all test papers have been designed as per CBSE, NCERT and KVS syllabus and examination pattern. These question banks have been recommended in various schools and have supported many students to practice and further enhance their scores in school and have also assisted them to appear in other school level tests and examinations. Its easy to take print of thee assignments as all are available in PDF format.

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