Rectangle ABCD is shown. What is the length of a diagonal AC
To find the length of the diagonal AC in rectangle ABCD, we can use the Pythagorean theorem.
The length of AC is the hypotenuse of a right triangle with sides of length AB and BC.
Given that AB = 3 and BC = 4, we can use the Pythagorean theorem which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides.
Therefore,
AC^2 = AB^2 + BC^2
AC^2 = 3^2 + 4^2
AC^2 = 9 + 16
AC^2 = 25
Taking the square root of both sides to find the length of AC,
AC = √25
AC = 5
Therefore, the length of the diagonal AC in rectangle ABCD is 5 units.