# Distance Formula Worksheets

Try our distance formula worksheets comprising exercises using the formula: d = √ ((x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}), which is a derivative of the Pythagorean theorem. Measure line segments on Cartesian planes, calculate the distance between two sets of coordinates, find the side lengths of shapes, figure out the missing coordinates, and identify the types of triangles in this PDF resource collection accompanied by answer keys. Bolster practice with our free worksheets.

Substitute the x-y coordinates in the formula to figure out the distance between two coordinates in these distance between two points worksheets.

In these length-of-line segments worksheets, locate the coordinates of the starting and ending points of the line segments and input them into the distance formula to find the length.

Finding the Side Length of Shapes

Grade 8 and high school students practice finding the side lengths, or the radius of a circle of various shapes by plugging in the coordinates of the endpoints in the formula: d = √ ((x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}).

Finding the Missing Coordinates

Rearrange the distance formula to make the unknown variable the subject and equate it with the given distance to determine the missing coordinate in these printables.

Distance Formula and Pythagorean Theorem

In these distance formula worksheets, apply the Pythagorean theorem to calculate the length of each line segment and verify the answer using the distance formula.

Identifying the Types of Triangles

Find the length of each side of the triangle using the distance formula and prove if the vertices form an equilateral, scalene, isosceles, or right-angled triangle.

Whether triangles, polygons, or circles, our distance formula worksheets have them all for students to practice finding midpoints and side lengths of shapes.

Perimeter on a Coordinate Plane

Plot the coordinates on the Cartesian plane, sketch the shape, calculate the length of each side using the formula, and find the perimeter in these practice sheets.