Question

bhaskar square method to prove pythagoras theorem by using square

Answer 1

In the above diagrams,

the blue triangles are all congruent and the yellow squares are congruent.

First let's find the area using the area formula for a square.

Area =c^2.

Now, lets find the area by finding the area of each of the components and then sum the areas.

Area of the blue triangles = 4(1/2)ab

Area of the yellow square = (b-a)^2

Area of the big square = 4(1/2)ab + (b-a)^2
= 2ab + b^2 - 2ab + a^2
= b^2 + a^2

Since, the square has the same area no matter how you find it
A = c^2 = a^2 + b^2,
concluding the proof.

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