Regarding side length, a triangle is a right triangle if …
a² + b² = c²
a^2 + b^2 = c^2
In a right triangle, the two shorter sides (a and b) meet at a 90-degree angle, while the longest side opposite the right angle is called the hypotenuse (c). The Pythagorean theorem states that the sum of the squares of the two shorter sides is equal to the square of the hypotenuse.
Therefore, if the relationship a^2 + b^2 = c^2 holds true for the side lengths of a triangle, then the triangle is a right triangle.
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