A right triangle was graphed on a coordinate plane using the coordinates (2,5) , (2,1) and (6,10). What is the length of the base of the triangle? Use the blank coordinate grid to help you answer the question.
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4 units
9 units
5 units
15 units
To find the length of the base of the right triangle, we need to determine the distance between the points (2,5) and (6,10) on the coordinate plane.
Using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
d = √((6-2)^2 + (10-5)^2)
d = √((4)^2 + (5)^2)
d = √(16 + 25)
d = √41
Therefore, the length of the base of the right triangle is approximately 6.40 units.