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Area of a Triangle - by Heron's Formula

Find the area...

Question

Find the area of this $△$ by hero's formula.

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Solution

Heron's formula
$S = \frac{A + B + C}{2}$
where
$S \to$ Semi-perimeter of the triangle
$A, B, C \to$ Sides of the triangle
Area is given as
$A r e a = \sqrt{S (S - A) (S - B) (S - C)}$

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Similar questions

Hero's formula cannot be used in finding the area of quadrilateral.

By Hero's formula the area of triangle is $\sqrt{s (s - a) (s - b) (s - c)}$

Q. Consider the following three statements
Statement - 1: Heron’s formula is applied only for calculating the area of a triangle.
Statement - 2: If the four sides of a quadrilateral are given, then its area can be calculated by using the Heron’s formula.
Statement - 3: Heron’s formula is also known as Hero’s formula.
Which of the following is true?

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Q. Find the area of the triangle by Heron's formula.

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