Hello friends today we are going to learn about Pythagorean Theorem also known as Pythagoras Theorem
Pythagorean Theorem Examples: This theorm was derived by a greek mathatician Pythagoras .It is related to all sides of a Triangle and can be applied to those triangle who is having one 90 degree angle.• Arms (a and b): the sides of the triangle adjacent to the right angle. They should not be of same length to apply Pythagorean theorem
• Hypotenuse (c): the side of the triangle opposite the right angle
Theorm :
Equation :Equation :a2 + b2 = c2
The sum of the squares of the two sides is equal to the square of the hypotenuse
Lets take an acute angle triangle abc here angle a and b are acute angles a and b angles are acute angles less than 90 degree and one angle i.e c is of 90 degree to give a sum of 180 degrees.In this angle there is no obtuse angle (angle greater than 90 degree)to apply the theorm
This theorm is very useful for finding the any side of a right angle triangle . If the length of any side is not known it can be calculated by using
Where a and b represents length of other two sides and c represents length of the hypotenuse ,the longest side
Pythagorean theorem help with more Examples. (visit for detail)
Example 1: Prove a triangle with sides “2, 3 , 4” is having a 90 degree angle in it
Solution = 2*2+3*3 =4*4
Example2 :Find the side of the Triangle(12,5 , c) ?
In this question values and info we are already having are two side length and one angle is of 90 degree.So to calculate the length of the third side we can apply the Pythagorean theory
A2 +b 2=c2
12*12+5*5=c2
144+25=c2
169=c2
13=c
This theorm will be helpful to everyone till grade XII
In upcoming posts we will discuss about Congruence and Applications of Probability and Statistics. Visit our website for information on Karnataka state board books
Pythagorean Theorem Examples: This theorm was derived by a greek mathatician Pythagoras .It is related to all sides of a Triangle and can be applied to those triangle who is having one 90 degree angle.• Arms (a and b): the sides of the triangle adjacent to the right angle. They should not be of same length to apply Pythagorean theorem
• Hypotenuse (c): the side of the triangle opposite the right angle
Theorm :
Equation :Equation :a2 + b2 = c2
The sum of the squares of the two sides is equal to the square of the hypotenuse
Lets take an acute angle triangle abc here angle a and b are acute angles a and b angles are acute angles less than 90 degree and one angle i.e c is of 90 degree to give a sum of 180 degrees.In this angle there is no obtuse angle (angle greater than 90 degree)to apply the theorm
This theorm is very useful for finding the any side of a right angle triangle . If the length of any side is not known it can be calculated by using
Where a and b represents length of other two sides and c represents length of the hypotenuse ,the longest side
Pythagorean theorem help with more Examples. (visit for detail)
Example 1: Prove a triangle with sides “2, 3 , 4” is having a 90 degree angle in it
Solution = 2*2+3*3 =4*4
Example2 :Find the side of the Triangle(12,5 , c) ?
In this question values and info we are already having are two side length and one angle is of 90 degree.So to calculate the length of the third side we can apply the Pythagorean theory
A2 +b 2=c2
12*12+5*5=c2
144+25=c2
169=c2
13=c
This theorm will be helpful to everyone till grade XII
In upcoming posts we will discuss about Congruence and Applications of Probability and Statistics. Visit our website for information on Karnataka state board books
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