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The 30-60-90 right triangle theorem states that the hypotenuse is 2x, the side with the 60 degrees and the right angle is x, and the side sharing the right angle and the 30 degrees is x * (the square root of 3).
The Pythagorean Theorem states that in a right triangle with legs a and b and hypotenuse c, a2 + b2 = c2. The converse of the Pythagorean theorem states that, if in a triangle with sides a, b, c, a2 + b2 = c2 then the triangle is right and the angle opposite side c is a right angle.
YES
The Pythagorean Theorem allows the mathematician to determine the value of the hypotenuse. The converse of the Pythagorean Theorem manipulates the formula so that the mathematician can use the values to determine that if the triangle is a right triangle.
No because it does not comply with Pythagoras' theorem.
Pythogaras Theorem applies only to right-angled or right triangles. The theorem states that in any right angle triangle, the square of the lenght of the longest ( called the Hypothenuse) equals the sum of the squares of the other sides of the triangle