Heron's Formula
Bihar Board · Class 9 · Mathematics
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What is Heron's Formula used to calculate?
In Heron's Formula, what does 's' represent?
If a triangle has sides 3 cm, 4 cm, and 5 cm, what is the semi-perimeter?
What is the complete form of Heron's Formula?
Sample Questions
Which of the following are required to use Heron's Formula? (Select all correct answers)
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Length of side a, Length of side b, Length of side c
Heron's Formula requires only the lengths of all three sides (a, b, c) of the triangle. Height and base are not needed.
If s = 6 and the sides are 3, 4, 5, what are the values of (s-a), (s-b), and (s-c)?
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3, 2, 1
Given sides a=3, b=4, c=5 and s=6: (s-a) = 6-3 = 3, (s-b) = 6-4 = 2, (s-c) = 6-5 = 1.
For a triangle with sides 3, 4, 5, what is the area using Heron's Formula?
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6 square units
s = 6, Area = √[6×3×2×1] = √36 = 6 square units. This is a 3-4-5 right triangle, so we can verify: Area = (1/2)×3×4 = 6.
Which type of triangles can Heron's Formula be applied to? (Select all correct answers)
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Scalene triangles, Isosceles triangles, Equilateral triangles, Right triangles
Heron's Formula can be applied to any triangle as long as you know the lengths of all three sides, regardless of the triangle type.
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