To use the Pythagorean Theorem to determine the distance between two points, we need to know the coordinates of both points in a Cartesian plane. The Pythagorean Theorem, which is \( c^2 = a^2 + b^2 \), applies to right-angled triangles, where \( c \) is the length of the hypotenuse and \( a \) and \( b \) are the lengths of the other two sides.
If we are using two points on a coordinate plane, \( (x_1, y_1) \) and \( (x_2, y_2) \), the distance between these two points, which corresponds to the hypotenuse of the right triangle formed by these points, can be calculated using a modified version of the Pythagorean Theorem.
The formula to calculate the distance \( d \) between two points is:
\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \]
However, you've mentioned only a single point (1 point) without providing a second one, thus not giving us enough information to calculate the distance. Please provide the coordinates of both points so we can help you with the calculation.
Apply the Pythagorean Theorem to find the length between the two points. Round your answer to the nearest hundredth.
(1 point)
1 answer