Darla is building a desk. To make sure she had made a square corner, she measures 7ft from the corner along one edge, and 8ft from the corner of the other edge. How long should the diagonal be between those two points if the corner is a right angle?
Use the pythagorean theorem. a^2+b^2=c^2
1000010101
To find the length of the diagonal between the two points, you can use the Pythagorean theorem. According to the theorem, in 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 other two sides.
In this case, the two sides are 7ft and 8ft. So, using the Pythagorean theorem:
diagonal^2 = 7^2 + 8^2
diagonal^2 = 49 + 64
diagonal^2 = 113
To find the length of the diagonal, we need to take the square root of both sides:
diagonal = sqrt(113)
diagonal ≈ 10.63ft
So, the length of the diagonal between the two points should be approximately 10.63 feet.