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Important Questions for Class 9 Maths Chapter 12
Class IX Maths www vedantu com 1 Important Questions for Class 9 Maths Chapter 12 - Heron's Formula Section A 1 An isosceles right triangle has an area |
How many formulas make up Heron's formula?
This version actually uses two formulas to find the area of a triangle when given the lengths of the three sides.
The first formula is used to find the half-perimeter, also called the semi-perimeter, of the triangle, s.
Then, s is used along with the side lengths, a, b, and c, to find the area of the triangle.Heron's formula, formula credited to Heron of Alexandria (c. 62 ce) for finding 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.
What is the limitation of herons formula?
The disadvantages of Heron's formula include: It requires the calculation of a square root, which can be computationally expensive, especially if done by hand.
It can be more difficult to apply than other methods, such as using trigonometry, if the lengths of the sides are not known.
How do you solve Heron's formula questions?
How to Solve Heron's Formula Questions?
1Step 1: First find the perimeter of the given triangle.2) Step 2: Now, divide the perimeter by 2 to obtain the semi-perimeter.
3) Step 3: Use the semi-perimeter to find the area of the triangle using Heron's formula √(s(s - a)(s - b)(s - c)).
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