Question

If rhombus ABCD has vertices A(-3,2), B(-2,6), C(2,7), D(1,3), using the algebraic method, what is the length of a side of this rhombus?

a) √17
b) √20
c) √13
d) √26

Answer 1

The length of a side of the rhombus ABCD is √17.

Step-by-step explanation:

To find the length of a side of the rhombus ABCD, we can use the distance formula between two points in a coordinate plane. Let's find the distance between points A(-3,2) and B(-2,6) using the distance formula: AB = √((-2 - (-3))^2 + (6 - 2)^2) = √((-1)^2 + 4^2) = √(1 + 16) = √17.

Therefore, the length of a side of the rhombus ABCD is √17.