Home > Class 9 Math > Quizzes > Class 9 Maths Practice Test: Heron’s Formula - Heron’s Formula & Area of a Triangle by Heron’s Formula
Class 9 Maths Practice Test: Heron’s Formula - Heron’s Formula & Area of a Triangle by Heron’s Formula
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Heron's formula is credited to Heron of Alexandria (c. 62 ce) and is used to find the area of a triangle in terms of the lengths of its sides. In symbols, if a, b, and c are the lengths of the sides: Area = Square root of √s(s - a)(s - b)(s - c) where s is half the perimeter, or (a + b + c)/2.

Class 9 Maths Practice Test: Heron’s Formula - Heron’s Formula & Area of a Triangle by Heron’s Formula
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6 Questions

1. A triangular garden has sides 90m, 140m and 80m. A fence is to be put all around the garden. What will be the total cost of fencing at the rate of Rs 15 per metre? A 5m wide space is to be left on the one side for gate opening.
2. In heron’s formula \(\sqrt{s*(s-a)*(s-b)*(s-c)}\), what is the value of s if a, b and c are sides of the triangle?
3. A triangular board having sides 45m, 30m and 35m is used for advertising. One company uses this board for its advertisement for 4 months. How much rent will the company has to pay if the rent is Rs 3500 per m2?
4. The sides of a triangle are in the proportion of 2 : 3 : 5 and its perimeter is 200 cm. The area of this triangle is __________ cm2.
5. Which of the following formula is used for finding the area of triangle?
6. What is the area of the triangle having sides equal to 10 cm, 16 cm and 24 cm?

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