find the length of the diagonal of the rectangle ABCD where A(1,2) B(1,5) C(3,5) D(3,2) Solution A rectangle ABCD will have two diagonals, AC and BD, of equal length. Thus we can find the length of the diagonal of given rectangle by finding the distance AC or BD. We will find the distance AC The length of any line joining two points A(x1, y1) and C(x2, y2) is given by the formula: Length = [(x2 - x1)^2 + (y2 - y1)^2]^(1/2) substituting the given values of x1, y1, x2, and y2 in the above formula: Length = [(3 - 1)^2 + (5 - 2)^2]^(1/2) = (2^2 + 3^2)^(1/2) = (4 + 9)^(1/2) = 13^(1/2) = 3.60555 (approximately) Answer: Length of diagonal = 3.60555.

1. find the length of the diagonal of the rectangle ABCD where A(1,2) B(1,5) C(3,5) D(3,2)
Solution
A rectangle ABCD will have two diagonals, AC and BD, of equal length. Thus we can find the
length of the diagonal of given rectangle by finding the distance AC or BD.
We will find the distance AC
The length of any line joining two points A(x1, y1) and C(x2, y2) is given by the formula:
Length = [(x2 - x1)^2 + (y2 - y1)^2]^(1/2)
substituting the given values of x1, y1, x2, and y2 in the above formula:
Length = [(3 - 1)^2 + (5 - 2)^2]^(1/2)
= (2^2 + 3^2)^(1/2)
= (4 + 9)^(1/2)
= 13^(1/2)
= 3.60555 (approximately)
Answer:
Length of diagonal = 3.60555