orWatch a videoA triangle has sides with lengths of 10 inches, 12 inches, and 15 inches. Is it a right triangle?
Question
Is the triangle with sides of lengths 10 inches, 12 inches, and 15 inches a right triangle?
Solution
To determine if a triangle is a right triangle, we 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.
Step 1: Identify the longest side. In this case, it's 15 inches.
Step 2: Square the lengths of all sides: 10^2 = 100 12^2 = 144 15^2 = 225
Step 3: Check if the square of the longest side is equal to the sum of the squares of the other two sides: 100 + 144 = 244
Since 244 is not equal to 225, this triangle is not a right triangle.
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