Class 8 Maths - MAHARASHTRA
The Baudhayana-Pythagoras Theorem
In this chapter, Class 8 students under the Maharashtra State Board (MSBSHSE) explore the famous Baudhayana-Pythagoras Theorem. You will learn about right-angled triangles, their sides—specifically the hypotenuse, base, and perpendicular—and the mathematical relationship between them. The chapter introduces the historical contribution of the ancient Indian mathematician Baudhayana, who stated the theorem long before Pythagoras. Students will understand how to calculate the length of an unknown side of a right-angled triangle using the theorem and its converse. This chapter is vital for board exams as it forms the foundation for advanced geometry and trigonometry in higher classes.
Start Learning FreeKey Concepts
Right-Angled Triangle
A triangle in which one angle is exactly 90 degrees (a right angle).
Hypotenuse
The longest side of a right-angled triangle, which is always opposite to the 90-degree right angle.
Baudhayana-Pythagoras Theorem
In a right-angled triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
Pythagorean Triplets
A set of three positive integers (a, b, c) that satisfy the condition a squared plus b squared equals c squared.
Converse of the Theorem
If the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right-angled triangle.
Important Formulas
Board Exam Info
In the Maharashtra (MSBSHSE) Class 8 Mathematics exams, this chapter usually carries about 4 to 6 marks. Common question types include finding the length of the hypotenuse or another side given two sides, verifying whether a given set of numbers forms a Pythagorean triplet, and solving simple word problems based on real-life right-angled shapes.
Frequently Asked Questions
Who was Baudhayana and why is his name attached to the theorem?
Baudhayana was an ancient Indian mathematician who stated the geometric rule relating the sides of a right-angled triangle in the 'Baudhayana Sulba Sutra' centuries before Pythagoras.
How do I identify which side is the hypotenuse?
The hypotenuse is always the side directly opposite to the 90-degree right angle in a right-angled triangle, and it is always the longest of the three sides.
What is a Pythagorean triplet and how do I check it?
A Pythagorean triplet is a set of three numbers where the square of the largest number equals the sum of the squares of the other two smaller numbers.
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