Question

write the thron's formula for as of triangle​

Answer 1

Step-by-step explanation:

$\huge{\underline{\mathtt{\red{ƛ}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}} :) \bold \purple♡$

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. It is also termed as Hero’s Formula. He also extended this idea to find the area of quadrilateral and also higher-order polygons. This formula has its huge applications in trigonometry such as proving the law of cosines or law of cotangents, etc.

• Table of contents:
• Hero’s Formula
• For Quadrilateral
• For Equilateral Triangle
• For Isosceles Triangle
• Proof
• Using Cosine Rule
• Using Pythagoras Theorem
• Problems and Solutions

Questions

Heron’s Formula For Area of Triangle

According to Heron, we can find the area of any given triangle, whether it is a scalene, isosceles or equilateral, by using the formula, provided the sides of the triangle.

Suppose, a triangle ABC, whose sides are a, b and c, respectively. Thus, the area of a triangle can be given by;

Area=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√

Where “s” is semi-perimeter = (a+b+c) / 2

And a, b, c are the three sides of the triangle.

Answer 2

Step-by-step explanation:

$\huge{\underline{\mathtt{\red{ƛ}\pink{N}\green{S}\blue{W}\purple{E}\orange{R}}}} :) \bold \purple♡$

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. It is also termed as Hero’s Formula. He also extended this idea to find the area of quadrilateral and also higher-order polygons. This formula has its huge applications in trigonometry such as proving the law of cosines or law of cotangents, etc.

• Table of contents:
• Hero’s Formula
• For Quadrilateral
• For Equilateral Triangle
• For Isosceles Triangle
• Proof
• Using Cosine Rule
• Using Pythagoras Theorem
• Problems and Solutions

Questions

Heron’s Formula For Area of Triangle

According to Heron, we can find the area of any given triangle, whether it is a scalene, isosceles or equilateral, by using the formula, provided the sides of the triangle.

Suppose, a triangle ABC, whose sides are a, b and c, respectively. Thus, the area of a triangle can be given by;

Area=s(s−a)(s−b)(s−c)−−−−−−−−−−−−−−−−−√

Where “s” is semi-perimeter = (a+b+c) / 2

And a, b, c are the three sides of the triangle.