If you know two lengths of a right triangle, you can use Pythagorean Theorem to work out the length of the third side.. Because 8^2 + 10^2 ≠ 13^2 , the sides of the triangles do not fit with Pythagorean Theorem. Therefore, the triangle is NOT a right triangle and c is not a hypotenuse. Example 6: checking if a triangle has a right angle.. Pythagoras’ theorem can be used to calculate the length of any side in a right-angled triangle. Pythagoras’ theorem can be applied to solve 3-dimensional problems.
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Pythagoras’ Theorem. In any right-angled triangle, the square of the length of the hypotenuse (the side that lies opposite the right angle) is equal to the sum of the squares of the other two sides. In other words, a 2 + b 2 = c 2. The converse is also true: if the three sides in a triangle satisfy a 2 + b 2 = c 2, then it must be ???.. Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a 2 + b 2 = c 2.Although the theorem has long been associated with Greek mathematician-philosopher Pythagoras (c. 570-500/490 bce), it is actually far older.