Table of Contents
Herons’ Formula Introduction:
Herons’ Formula is used to calculate the area of a triangle. The formula is A = (base x height)/2. The base is the length of the triangle’s bottom edge, and the height is the length of the triangle’s top edge.
The Applications of Heron’s Formula
Heron’s Formula is a geometric formula that calculates the area of a triangle. The formula is:
A = (1/2)bh
Where A is the area of the triangle, b is the base of the triangle, and h is the height of the triangle.
What is Heron’s Formula for Finding the Area?
Heron’s Formula states that the area of a triangle is equal to the square root of the product of the length of the base and the height.
Using Heron’s Formula to Find Equilateral Triangles
To find an equilateral triangle, use Heron’s formula to find the length of the sides. This will give you all the sides of the triangle. Then, use a compass and ruler to draw the triangle with the correct measurements.
Heron’s Formula for the Isosceles Triangle
Heron’s Formula for the Isosceles Triangle states that the length of the base, the length of the altitude, and the length of the median are related by the following equation:
where a is the length of the base, b is the length of the altitude, and c is the length of the median.
Heron’s Formula for the Scalene Triangle
The scalene triangle is a three-sided polygon with all of its sides of different lengths. Heron’s Formula is a mathematical equation that calculates the area of a scalene triangle.
The area of a scalene triangle is:
A = √(s(s-a)(s-b)(s-c))
Where s is the length of the triangle’s longest side, a, b, and c are the lengths of the other two sides, and √ is the square root function.
The Heron’s Formula For Quadrilaterals
A quadrilateral is a four-sided polygon. The sum of the angles in a quadrilateral is 360 degrees. The Heron’s Formula for Quadrilaterals is a way to find the area of a quadrilateral. The formula is:
area = (s*s)*tan(angle/2)
s is the length of the side of the quadrilateral. angle is the measure of the angle between two sides of the quadrilateral.
Examples Based On Heron’S Formula
Water displaces an amount of air that is equal to the weight of the water displaced.
A weighing scale measures the weight of an object.
Class 9 Math Chapter 12 Heron’s Formula MCQ:
The area of a triangle can be found using the formula
A =
1/2
base × height
No, the area of a triangle can be found using the formula
A =
base × height / 2
