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The Distance Formula itself is actually derived from the Pythagorean Theorem which is a2 b2 c2 where c is the longest side of a right triangle also known as the hypotenuse and a and b are the other shorter sides known as the legs of a right triangle. A2 b2 c2 a 2 b 2 c 2. D sqrt x_2 - x_12 y_2 - y_12 d x2.
D x 2 x 1 2 y 2 y 1 2.
We see that the speed corresponding to a braking distance of 500 ft is approximately 80 mph. This Finding the Distance Between Two Points task in particular is amazing because it gets kids thinking about the Pythagorean Theorem the distance formula and graphing. A2 b2 c2 a 2 b 2 c 2. To find the vertical height of the bowl portion of the glass we use the Pythagorean Theorem.