NCERT Solutions for Class 9 Maths Exercise 12.1 Heron’s Formula in Hindi and English Medium updated for session 2022-2023. Class 9 Maths Exercise 12.1 contains only 6 questions based on Heron’s formula. The PDF and video solutions of exercise are in Hindi and English to download.
NCERT Solutions for Class 9 Maths Exercise 12.1
Area of Triangles with Heron’s Formula
Heron’s Formula is applied in the calculations of the area of a triangle. In the previous chapter of NCERT Solutions for Maths class 9, you have studied the different shapes. We have already studied the ways to find areas of squares, circles, triangles, and quadrilaterals along with their properties.
This is why you should have a well-versed knowledge of the area and perimeters of different shapes mainly triangles. Initially, you know that we can find the area of triangle using Pythagoras formula but still have limitations. What if you calculate the area of the triangle, not just one type of triangle multiple types of triangles.
Introduction to Heron’s contributions
Though it is mentioned as 10 AD (After Christ was born) but many believe it is not fully accurate. Different translations give different dates but are somewhere near to each other. For this reason, it is highly unlikely to give up a date for his period of life. Since the origin of Heron de Alejandria is so old that the records are not fully available.
This is the only reason why most of the establishments of this great Mathematician remain a mystery to us. Scholars and historian have their theory that Heron did not publish any work. He was later than Archimedes, who was a famous engineer, physicist, and inventor, but he is a different story for later.
Heron’s contribution towards studies
Nothing is much clearer about the life of Heron, but what we really know about the contribution that he made in the area of education.
It is not just in Mathematics, he contributed only, researchers say he published his first work of cybernetics. Though it is not formalized as the field of education until 20th century. Along with it is mentioned in 13 books among which the most famous is Metrica.
Heron’s Formula for Geometry
Heron is among some of the greatest of all time, whose work is still we’re using to calculate the area of triangles. When the three sides of triangles are given, we just think about Heron’s formula geometry.
Unlike the famous Pythagorean Theorem, it is applicable in all types of triangles as long as the sides are given. Even in some cases, you can use it for the quadrilateral and polygons. As per the exercise 12.1 the formula for the Area of Triangle = √(s (s-a)(s-b)(s-c)).