Question - Determining Right Triangle
Solution:
To determine if a triangle is a right triangle when you know the lengths of its sides, you can use the Pythagorean theorem, which states that 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.The Pythagorean theorem is expressed as:a² + b² = c²Where c is the hypotenuse and a and b are the other two sides.In the question, the sides are given as 22, 32, and 55. Assuming the hypotenuse is 55 (because it is the longest side which is always opposite the right angle in a right triangle), then:a² + b² should equal c².Let's check:22² + 32² = 55²484 + 1024 = 30251508 ≠ 3025The sum of the squares of the two shorter sides does not equal the square of the longest side, so this triangle is not a right triangle.The answer to the problem is:No, it is not a right triangle.
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