That is correct
Yes and in effect you are using Pythagoras' theorem for a right angle triangle.
right triangle
You are using Pythagoras's construction to find Euclid's distance.
hypotenuse
The hypotenuse
right triangle
Yes and in effect you are using Pythagoras' theorem for a right angle triangle.
right triangle
right triangle
When you use the distance formula, you are building a right triangle whose hypotenuse connects two given points in a coordinate plane. The two legs of the triangle correspond to the differences in the x-coordinates and y-coordinates of the points. The distance formula essentially calculates the length of the hypotenuse using the Pythagorean theorem.
hypotenuse, hypotenuse
You are using Pythagoras's construction to find Euclid's distance.
I'm pretty sure it's a right triangle I'm not sure though. Ask your teacher
The distance formula, given by ( d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} ), calculates the straight-line distance between two points ((x_1, y_1)) and ((x_2, y_2)) in a Cartesian plane. This formula effectively derives from the Pythagorean theorem, where the horizontal and vertical differences between the points form the two legs of a right triangle. The hypotenuse of this triangle represents the distance between the two points. Thus, using the distance formula geometrically relates to constructing a right triangle connecting the given points.
Use the distance formula to calculate the distances between the three vertices. If they are all different, the triangle is scalene, if only two are the same, the triangle is isosceles, and if they are all the same, the triangle is equilateral.
hypotenuse
hypotenuse