Question

CJPT has coordinates at C (3, 4), J (1, 2), P (4, 2), and T' (6, 4). What are the lengths of the sides of the quadrilateral?

o 3
o 6.7
o 2.8
o 4
o 9.1
o 2

Answer 1

Using the distance formula, the lengths of the sides of the quadrilateral are approximately 2.83, 3, 2.83, and 3 units.

Step-by-step explanation:

To find the lengths of the sides of the quadrilateral, we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by the formula √((x2 - x1)² + (y2 - y1)²).

Using the above formula, we can calculate the lengths of the sides:

Side CJ = √((1 - 3)² + (2 - 4)²) = √((-2)² + (-2)²) = √(4 + 4) = √(8) ≈ 2.83

Side JP = √((4 - 1)² + (2 - 2)²) = √((3)² + (0)²) = √(9 + 0) = √(9) = 3

Side PT' = √((6 - 4)² + (4 - 2)²) = √((2)² + (2)²) = √(4 + 4) = √(8) ≈ 2.83

Side T'C = √((6 - 3)² + (4 - 4)²) = √((3)² + (0)²) = √(9 + 0) = √(9) = 3