The Distance Between A Point and Line calculator provides the distance from a point (x, y) to a line of the form Ax+By+C=0.
INSTRUCTIONS: Enter the following:
- (A) This is the x coefficient in the line
- (B) This is the y coefficient in the line
- (C) This is the constant in the line formula.
- (x) This is the x value of the point.
- (y) This is the y value of the point
Distance between the point and a line (D): The calculator returns the distance.
The Math / Science
If the formula of the line is put in the form Ax+By+C = 0, the formula for the distance between a point and a line is:
`D = (|A*x+B*y+C|) / sqrt(A^2+B^2)`
where:
- D is the distance between the point and the line
- A is the x coefficient in the line formula
- B is the y coefficient in the line formula
- C is the constant in the line formula
- x is the x position value of the point
- y is the y position value of the point
A triangle is a polygon with three sides, three vertices (corners), and three angles. Triangles can be classified based on the lengths of their sides and the measures of their angles as follows:
By Side Lengths:
- Equilateral Triangle: All three sides are equal in length.
- Isosceles Triangle: Two sides are equal in length.
- Scalene Triangle: All three sides have different lengths.
By Angle Measures:
- Acute Triangle: All three angles are less than 90 degrees.
- Right Triangle: One angle is exactly 90 degrees.
- Obtuse Triangle: One angle is greater than 90 degrees.
The sum of the interior angles of any triangle always adds up to 180 degrees.