Answer:
The length of diagonal HJ is 2.92 units.
Explanation:
Finding the Length of Diagonal HJ:
Identify the coordinates:
Point A is at the origin (0, 0).
Point B is at the width (5, 0).
Point C is at the width and height (5, 3).
Point D is at the height (0, 3).
Point H is the midpoint of diagonal BD and has coordinates (2.5, 1.5).
Visualize the diagonal:
Diagonal HJ connects point H (2.5, 1.5) to point D (0, 3).
Apply the distance formula:
Formula: sqrt((x2 - x1)^2 + (y2 - y1)^2)
Calculate: sqrt((2.5 - 0)^2 + (1.5 - 3)^2)
Simplify and round:
Calculation: sqrt((2.5)^2 + (-1.5)^2) = sqrt(6.25 + 2.25) = sqrt(8.5)
Round to nearest hundredth: sqrt(8.5) ≈ 2.92
Therefore, the length of diagonal HJ is 2.92 units.