state heron's formula
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state heron's formula
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Answer:
Area =
where,
S ⇒ Semiperimeter
a,b,c are sides of the triangle
Step-by-step explanation:
In geometry, Heron's formula (sometimes called Hero's formula), named after Heron of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.
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The area of a triangle with 3 sides can be calculated using Heron's formula. Heron's formula: A = √s(s−a)(s−b)(s−c) s ( s − a ) ( s − b ) ( s − c ) where a, b, and c are the sides and 's' is the semi-perimeter; s = (a + b + c)/2.
When an equal side and the base is given: Area of an isosceles triangle = 1/4 × b√4...
When one side is given: Area of an equilateral triangle = (√3)/4 × side2
When base and height is given: Area of a right triangle = 1/2 × Base × Height