Q1
What does ‘s’ represent in Heron’s Formula?
The s in Heron’s formula denotes the semi-perimeter of a triangle, whose area has to be evaluated. Semi-perimeter is equal to the sum of all three sides of the triangle divided by 2.
s = (a + b + c)/2
Where a, b and c are three sides of a triangle.
Q2
When do we use Heron’s formula?
Heron’s formula is used to find the area of a triangle when all its three side-lengths are known to us.
Q3
Who gave Heron’s formula?
Hero of Alexandria was a great mathematician who derived the formula for the calculation of the area of a triangle using the length of all three sides.
Q4
What is Heron’s formula for equilateral triangle?
Since an equilateral triangle has all its three sides equal, therefore, the hero’s formula to find its area is given by:
A = √[s(s – a)3]
Q5
How can we find the area of quadrilateral using Heron’s formula?
If we know the lengths of the sides of a quadrilateral and any one of the diagonal length, then by taking diagonal as the common side, we can divide the given quadrilateral into two triangles and find the area for both using Heron’s formula. At last, we need to add the areas of the two triangles.
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