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. 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?
2. What is the area of the triangle having sides equal to 10 cm, 16 cm and 24 cm?
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. 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.

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