Regarding side length, a triangle is a right triangle if …
A triangle is considered to be a right triangle if it satisfies one specific condition related to its side lengths
A triangle is considered to be a right triangle if it satisfies one specific condition related to its side lengths. The condition is known as the Pythagorean theorem, which states:
“In a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.”
In mathematical terms, if a, b, and c represent the side lengths of a triangle, with c being the length of the hypotenuse, then the Pythagorean theorem can be written as:
a² + b² = c²
Essentially, if this equation holds true for the given side lengths of a triangle, it implies that the triangle is a right triangle.
Conversely, if the equation does not hold true for a triangle, it means that it is not a right triangle.
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