Practical proof of the pythagoras theorem by taking the sides of the triangle as 3, 4 and 5 units.
Answers
Pythagoras Theorem is an important topic in Maths, which explains the relation between the sides of a right-angled triangle. It is also sometimes called the Pythagorean Theorem.
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°. The sides of a right triangle (say a, b and c) which have positive integer values, when squared, are put into an equation, also called a Pythagorean triple.
To use this theorem, remember the formula given below:
c2 = a2 + b2
Where a, b and c are the sides of the right triangle.
For example, if the value of a = 3 cm, b = 4 cm, then find the value of c.
We know,
c2 = a2 + b2
c2 = 32+42
c2 = 9+16
c2 = 25
c = √25
c = 5
Hence, the third side is 5 cm.
As we can see, a + b > c
3 + 4 > 5
7 > 5
Hence, c = 5 cm is the hypotenuse of the given triangle.
Answer:
We know that the pythagorean theorem is c²=a²+b²
Step-by-step explanation:
Let a , b and c be the three sides of a right angles triangle where the value of a=3cm and b=4cm.
We know that c²=a²+b²
c²= 3² + 4²
c²= 9 + 16
c²= 25
c = √25
c = 5cm
As c is longest side of the right angled triangle , it is the hypotenuse of the given triangle