Answer
The explanation of the Pythagorean theorem by scarecrow is not right because linear units and cubic units are not same.
Work Step by Step
According to the Pythagorean Theorem the sum of the squares of the lengths of two sides of a right triangle is equal to the square of hypotenuse length.
The errors in the statement of the scarecrow which is “the sum of the square roots of any two sides of an isosceles triangle is equal to the square root of the remaining side” are as follows:
1) The Pythagorean Theorem must be applied on the right triangle, but the scarecrow applied on the isosceles triangle.
2) Scarecrow exclaims that the sum of the square roots of two sides but the actual statement is sum of the squares of the two sides.
3) Sum of the squares to two sides must be equal to the hypotenuse length square not the remaining side.
4) The sum of the squares of two sides except hypotenuse must be used instead of any two sides.
Hence, the explanation of the Pythagorean theorem by scarecrow is not right because linear units and cubic units are not same.
