## Does Heron’s formula work for all triangles?

This formula works for the most basic of triangles and works if you are provided with the sides of the triangle..

## Why does Heron’s formula work?

In geometry, Heron’s formula (sometimes called Hero’s formula), named after Hero 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.

## What is the value of S in Heron’s formula?

Answer. S represents semi perimeter of triangle !!

## What is S in Triangle?

Another is Heron’s formula which gives the area in terms of the three sides of the triangle, specifically, as the square root of the product s(s – a)(s – b)(s – c) where s is the semiperimeter of the triangle, that is, s = (a + b + c)/2. …

## Does 1 2bh work for all triangles?

Yes. Because the base times height (without half) is the size of any symmetrical four-corner object, such as a square, rectangle or rhomboid. (you can make a rectangle/square from a rhomboid by cutting the “extra triangle” and flipping it over to the other side, so the formula is the same).

## Who found Heron’s formula?

Heron of AlexandriaHeron’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 Heron’s Formula Class 9?

For a quadrilateral, when one of its diagonal value and the sides are given, the area can be calculated by splitting the given quadrilateral into two triangles and use the Heron’s formula. Example :A park, in the shape of a quadrilateral ABCD, has ∠C=90∘, AB = 9 cm, BC = 12 cm, CD = 5 cm and AD = 8 cm.