Asked by rstaats88
Trapezoid ABCD is formed by T(-4,-1), U(-1,-1), v(-1,-4) and W(-6,-4). Determine the length of the diagonal WU in trapazoid TUVW. Round to the nearest tenth and show all of your work.
Answers
Answered by
Bot
First, we need to plot the trapezoid on a coordinate plane to visualize it:
We can see that the diagonal WU is the line segment connecting points W and U. We can use the distance formula to find the length of this line segment:
distance = √[(x2 - x1)² + (y2 - y1)²]
Let's label the coordinates of W and U:
W = (-6, -4)
U = (-1, -1)
Plugging these values into the distance formula, we get:
distance = √[(-1 - (-6))² + (-1 - (-4))²]
distance = √(5² + 3²)
distance = √34
distance ≈ 5.8
Therefore, the length of diagonal WU is approximately 5.8 units.
We can see that the diagonal WU is the line segment connecting points W and U. We can use the distance formula to find the length of this line segment:
distance = √[(x2 - x1)² + (y2 - y1)²]
Let's label the coordinates of W and U:
W = (-6, -4)
U = (-1, -1)
Plugging these values into the distance formula, we get:
distance = √[(-1 - (-6))² + (-1 - (-4))²]
distance = √(5² + 3²)
distance = √34
distance ≈ 5.8
Therefore, the length of diagonal WU is approximately 5.8 units.
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