Question

Prove Pythagorean Theorem Numerically.

Answer 1

hHi ,

Let a , b , c are three sides of a right triangle

ABC , hypotenuse is c

where a = 3 , b = 4 , c = 5 units of the

a² = 9 ,

b² = 16 ,

c² = 25

c² = a² + b²

By Pythagorean theorem ,

In a right Triangle , the square of the

hypotenuse is equal to sum of the squares of

the other two sides.

I hope this helps you.

:)

Answer 2

Hey there!!!

The Pythagorean theorem (P.G.T.) states that the square of hypotenuse side is equal to the sum of squares of the base side and the perpendicular side, in a right angled triangle.

Suppose ABC is a right angled triangle at B. 
AB is the perpendicular side, BC is the base and AC is the hypotenuse side of the triangle.

Now according to P.G.T. --> 
The result should be, 
(AB)² + (BC)² = (AC)²

Now, lets prove it numerically:

Let the sides AB = 3cm
BC = 4cm
And , AC = 5cm

Now, according to P.G.T. --->

(AB)² + (BC)² = (AC)²
Plug in the values:
(3)² + (4)² = (5)²
9 +16 = 25
25 = 25

L.H.S. = R.H.S.

Hence P.G.T. is proved..

HOPE IT HELPS!!!