- #1
UrbanXrisis
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okay, I looked around in google and I'm not getting what I need. What is the formula to prove if two intersecting lines create a right angle or not? Having Cartesian coordinates only.
UrbanXrisis said:you see, I'm writing a Java program, and I would give me a divide by zero error if I tried to find the slope that was vertical. But I have an idea, I would just say that if the 2 x's are equal, then skip to find the slope of the second line. If the slope of that line is zero, then it creates a right angle.
thanks for the help
Math.abs(x)
Cartesian coordinates are a system used to locate points on a plane using two perpendicular axes. By plotting the coordinates of three points that form the vertices of a triangle, we can calculate the distances between them using the Pythagorean theorem. If the square of the longest side is equal to the sum of the squares of the other two sides, then the angle formed by those sides is a right angle.
The Pythagorean theorem is a mathematical equation that states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. It can be written as a² + b² = c², where a and b are the lengths of the shorter sides and c is the length of the hypotenuse.
Yes, Cartesian coordinates can be used to prove any type of angle. By calculating the distances between the points using the Pythagorean theorem, we can determine the angle formed by those sides. A right angle is just one specific type of angle that can be proven using Cartesian coordinates.
Yes, proving a right angle using Cartesian coordinates is a reliable method. As long as the coordinates of the three points are accurately plotted and the Pythagorean theorem is applied correctly, the result will always be a right angle.
Yes, there are other methods for proving a right angle, such as using the properties of similar triangles or using the definition of a right angle as a 90 degree angle. However, using Cartesian coordinates is a straightforward and reliable method that can be easily applied in many situations.