Question

State and prove pythagoras therom

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Answer 1

Answer:

in a right angled triangle square of hypotenuse is equal to the sum of squares of other two sides

Answer 2

the right angle of a right triangle to the hypotenuse, then triangles on both sides of the perpendicular are similar to the whole triangle and to each other.

ADB ABC

So, (Sides are proportional)

Or, AD.AC = AB2 ... (1)

Also, BDC ABC

So,

Or, CD. AC = BC2 ... (2)

Adding (1) and (2),

AD. AC + CD. AC = AB2 + BC2

AC (AD + CD) = AB2 + BC2

AC.AC = AB2 + BC2

AC2 = AB2 + BC2

Hence Proved.