Question

Write statement of pythagoras theorem and prove it.​

Answer 1

Answer:

Pythagoras Theorem: Square of the length of the hypotenuse of a right angled triangle is the sum of the squares of the lengths of other two sides.

In right angled triangle, hypotenuse is the greatest side.

So, hypotenuse

=

=

10

\Rightarrow (hypotenuse)^2 =10^2 = 100

⇒(hypotenuse)

2

=10

2

=100

Now,

6^2 + 8^2 = 36 + 64 = 100

6

2

+8

2

=36+64=100

\Rightarrow 10^2 = 6^2 + 8^2

⇒10

2

=6

2

+8

2

Thus, 6, 8 and 10 are pythagorean triplets.

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Answer 2

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 Pythagorean Theorem. The formula and proof of this theorem are explained here. This theorem is basically used for the right-angled triangle and by which we can derive base, perpendicular and hypotenuse formula. Let us learn this theorem in detail here.