Evolution of the theroy heron's formula
Solution :
Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula.
What is Heron's formula ?
Heron's formula is used to determine the area of triangles when lengths of all their sides are given or to find the area of quadrilaterals. We also know it as Hero's formula. This formula for finding the area does not depend on the angles of a triangle. It solely depends on the lengths of all sides of triangles. It contains the term "s" which is known as semi-perimeter, which is obtained by halving the perimeter of a triangle. Similarly, this concept of finding the area is further extended to determine the area of quadrilaterals as well.
History of Heron's formula?
Heron's formula was written in 60 CE by Heron of Alexandria. He was a Greek Engineer and Mathematician who determined the value of the area of the triangle using only the lengths of its sides and further extended it to calculate areas of quadrilaterals. He used this formula to prove the trigonometric laws such as Laws of cosines or Laws of cotangents.
Heron's formula definition ?
As per Heron's formula, the value of the area of any triangle having lengths, a, b, c, perimeter of the triangle, P, and semi-perimeter of the triangle as 's' is determined using the below-given formula:
Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula.
What is Heron's formula ?
Heron's formula is used to determine the area of triangles when lengths of all their sides are given or to find the area of quadrilaterals. We also know it as Hero's formula. This formula for finding the area does not depend on the angles of a triangle. It solely depends on the lengths of all sides of triangles. It contains the term "s" which is known as semi-perimeter, which is obtained by halving the perimeter of a triangle. Similarly, this concept of finding the area is further extended to determine the area of quadrilaterals as well.
History of Heron's formula?
Heron's formula was written in 60 CE by Heron of Alexandria. He was a Greek Engineer and Mathematician who determined the value of the area of the triangle using only the lengths of its sides and further extended it to calculate areas of quadrilaterals. He used this formula to prove the trigonometric laws such as Laws of cosines or Laws of cotangents.
Heron's formula definition ?
As per Heron's formula, the value of the area of any triangle having lengths, a, b, c, perimeter of the triangle, P, and semi-perimeter of the triangle as 's' is determined using the below-given formula: