Answer:
It is not possible to form a right triangle with the lengths 4, 8, and 10 because the longest side of the triangle must be shorter than the sum of the other two sides. This is known as the Pythagorean Theorem, which states that in a right triangle, the square of the longest side (the hypotenuse) is equal to the sum of the squares of the other two sides. Since 8² + 10² = 164, and 10 is greater than the sum of 4 + 8, it is not possible to form a right triangle with those three lengths.
In this case, assuming that 10 is the hypotenuse, we have:
10² = 4² + 8²
100 = 16 + 64
This equation is not true, as 100 is not equal to 80. Therefore, we cannot form a right triangle