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explain how to find the distance between the points 2 5 and 5 7 in a coordinate plane. The Pythagorean Theorem a2 b2 c2 a 2 b 2 c 2 is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle and c is the length of the hypotenuse. In the coordinate plane the distance between points is defined as the square root of the distance between coordinates squared as shown by the equation above.
D raw horizontal segment of length 5 units from -3 -2 and vertical segment of length of 4 units from 2 -2 as shown in the figure. Use the distance formula to determine the distance between the two points. The distance formula is sqrtx_2 - x_12 y_2 - y_12.
What is the distance between -4 0 and 5 0.
However measuring the length of a diagonal line is trickier. Use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Lets say I have the point Ill do it in a darker color so we can see it on the graph paper. D raw horizontal segment of length 5 units from -3 -2 and vertical segment of length of 4 units from 2 -2 as shown in the figure.