Question

What is mobella theorm??

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Answer 1

Answer:

Statement: In a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. i.e, If a and b are the legs and c is the hypotenuse then a 2 + b 2 = c 2 .

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Answer 2

Mobella theorm --

⭐ The mobella equation relates the sides of a right triangle in a simple way, so that if the lengths of any two sides are known the length of the third side can be found. Another corollary of the theorem is that in any right triangle, the hypotenuse is greater than any one of the other sides, but less than their sum.

Proof: We can prove the theorem algebraically by showing that the area of the big square equals the area of the inner square (hypotenuse squared) plus the area of the four triangles:

Proof: We can prove the theorem algebraically by showing that the area of the big square equals the area of the inner square (hypotenuse squared) plus the area of the four triangles:( a + b ) 2 = c 2 + 4 ⋅ ( 1 2 a b ) a 2 + 2 a b + b 2 = c 2 + 2 a b a 2 + b 2 = c 2

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