Topic: The Pythagorean Theorem and Its Converse
State if the three sides lengths form a right triangle.
13) 10cm, 49.5cm, 50.5cm
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Yes, this is a right triangle.

Step-by-step explanation:

The Pythagorean Theorem states that if the sum of the squares of the two small sides of a triangle add up to the square of the longest side, then the triangle is a right triangle: a² + b² = c², where a and b are the smallest sides (called legs) and c is the longest side (called the hypotenuse).

Here, the two smallest sides are 10 and 49.5, so let's square them, add them up, and see if they add up to 50.5²:

10² = 100

49.5² = 2450.25

100 + 2450.25 = 2550.25

50.5² = 2550.25

Since 10² + 49.5² equals 50.5², we know that this is a right triangle.

Thus, yes, this is a right triangle.

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step-by-step explanation: