Final answer:
Sasha's wall does not meet the floor at a right angle. By applying the Pythagorean theorem, the sum of the squares of the wall height and the base of the wall does not equal the square of the hypotenuse, which contradicts the criteria for a right-angled triangle.
Step-by-step explanation:
Yes, Sasha's treehouse wall meets the floor at a right angle. To determine whether the wall forms a right angle with the floor, you can use the Pythagorean theorem, which states that for a right-angled 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. In this case, the hypotenuse is the brace which is 8 feet long, the height of the wall is one side which is 6.5 feet, and the distance from the base of the wall to the brace is the other side which is 5 feet.
According to the Pythagorean theorem:
c2 = a2 + b2
If we substitute the given lengths:
82 = 6.52 + 52
64 = 42.25 + 25
64 = 67.25
Since the equation does not hold true (64 <> 67.25), the conclusion is that the brace does not form a right triangle with the wall and the floor, which implies the wall is not perfectly perpendicular to the floor and thus does not meet the floor at a right angle.