Distance and the pythagorean theorem practice
What is the length of the diagonal of the rectangle? Round your answer to the nearest hundredth, if necessary
To find the length of the diagonal of a rectangle, you can use the Pythagorean theorem. The Pythagorean theorem states that in a right 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.
Let's assume the rectangle has sides of length "a" and "b". The diagonal will be the hypotenuse of a right triangle with sides of length "a" and "b".
Using the Pythagorean theorem, we can calculate the length of the diagonal (d) as follows:
d^2 = a^2 + b^2
Let's say the length of one side of the rectangle is 6 units and the length of the other side is 8 units. Plugging these values into the formula, we have:
d^2 = 6^2 + 8^2
d^2 = 36 + 64
d^2 = 100
Taking the square root of both sides, we have:
d = √100
d = 10
Therefore, the length of the diagonal of the rectangle is 10 units.