Regarding side length, a triangle is a right triangle if …
a² + b² = c²
In a right triangle, one of the angles measures 90 degrees (a right angle). In terms of side lengths, a triangle is a right triangle if and only if the square of the length of the longest side (also known as the hypotenuse) is equal to the sum of the squares of the lengths of the other two sides. This is known as the pythagorean theorem and is written as:
a^2 + b^2 = c^2
Where a and b are the lengths of the two shorter sides of the right triangle, and c is the length of the hypotenuse. The pythagorean theorem is a fundamental rule in mathematics and is used frequently in various fields, including engineering, physics, and architecture.
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