Distance Formula

What are some uses for the distance formula?

Finding the perimeter of polygons Finding the equation of a circle Finding the midpoint of segments

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. R(1, 3), S(3, 1), T(5, 2)

scalene

Find the distance between the points given. (3, 4) and (4, 7)

√(10)

Find the distance between the points given. (0, 6) and (5, 12)

√(61)

Find the distance between the points given. (-3, -6) and (3, 2)

10

Find the distance between the points given. (-3, 2) and (9, -3)

13

Find the distance between the points given. (0, -6) and (9, 6)

15

Find the distance between the points given. (-1, -1) and (1, 3)

2√5

Find the distance between the points given. (4, 5) and (7, 5)

3

Find the distance between the points given. (2, 2) and (5, 5)

3√2

Find the length of the longest side of the rectangle whose vertices are given. A(2, 1), B(5, 4), C(0, 3), D(3, 6)

3√2

Find the distance between the points given. (-3, 0) and (0,√7 )

4

Find the distance between the points given. (-3, -4) and (0, 0)

5

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. A(3, 5), B(6, 9), C(2, 6)

Isosceles

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. K(7, 0), L(3, 4), M(2, -1)

Isosceles

Find the distance between the points given. (2, 5) and (6, 8)

5

Find the distance between the points given. (3, 4) and (6, 8)

5

Find the distance between the points given. (0, 5) and (-5, 0)

5√2

Find the distance between the points given. (-10, 3) and (-10, 12)

9

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. P(0, 0), Q(6, 0), R(3,√3 )

equilateral

Given below are the coordinates of the vertices of a triangle. Find the lengths of the sides of the triangle, then click to identify the triangle as scalene, isosceles, or equilateral. W(5, -5), X(-2, -2), Y(8, 2)

isosceles