The statement is true about the length of the sides of quadrilateral ABCD is that: C. side BC has a length of 2√5 units.
A quadrilateral can be defined as a type of polygon that has four (4) sides, four (4) vertices, four (4) edges and four (4) angles.
In Geometry, there are different types of quadrilateral and these include the following:
In order to determine the side length of quadrilateral ABCD, we would use the distance formula to calculate the side length of BC as follows:
Mathematically, the distance between two (2) points that are on a coordinate plane can be calculated by using this formula:
Distance = √[(x₂ - x₁)² + (y₂ - y₁)²]
Substituting the given parameters into the formula, we have;
Distance BC = √[(4 - 2)² + (5 - 1)²]
Distance BC = √[2² + 4²]
Distance BC = √[4 + 16]
Distance BC = √68
Distance BC = 2√5 units.
In this context, we can reasonably infer and logically deduce that the statement is true about the length of the sides of quadrilateral ABCD is that side BC has a length of 2√5 units.
Read more on distance on a quadrilateral here: https://brainly.com/question/6561516
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Complete Question:
Quadrilateral ABCD is shown on the grid.
Tasha finds the length of the sides of the quadrilateral before finding the perimeter. Which statement is true about the length of the sides of quadrilateral ABCD?
Side DA has a length of √3 units.
Side AB has a length of √5 units.
Side BC has a length of 2√5 units.
Side CD has a length of 2√10 units.
