Answer:
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.
