Distance Formula

Problem: 1

Calculate AB to the nearest tenth of a unit.

Problem: 3

Calculate AB to the nearest tenth of a unit.

Problem: 5

Determine the distance between the following pair of points to the nearest tenth.

(2, –9), (–3, 3)

Problem: 7

Determine the distance between the following pair of points to the nearest tenth.

(3, –8), (–2, –5)

Problem: 9

Determine the distance between the following pair of points to the nearest tenth.

(3/4, –7/4), (3/2, 5/4)

Problem: 11

Determine the distance between the following pair of points to the nearest tenth.

(–3, –3), (3, 3)

Problem: 13

Determine the distance between the following pair of points to the nearest tenth.

(5, 0), (3, –2)

Problem: 15

Determine the distance between the following pair of points to the nearest tenth.

(3, 7), (8, –2)

Problem: 17

Determine the distance between the following pair of points to the nearest tenth.

(–4, 9), (–12, 8)

Problem: 19

Determine the distance between the following pair of points to the nearest tenth.

(–3, 9), (–3, –9)

Problem: 21

Determine the distance between the following pair of points to the nearest tenth.

(–5.2, 6.2), (–6.2, 7.2)

Problem: 23

Find the distance between the given pair of points and express your answer in the simplest radical form and if necessary round your result to the nearest hundredth.

Problem: 25

Find the distance between the given pair of points and express your answer in simplest radical form and if necessary round your result to the nearest hundredth.

Problem: 27

Find the distance between the given pair of points and express your answer in simplest radical form and if necessary round your result to the nearest hundredth.

Problem: 29

Find the value of a if the coordinates of the points are the indicated distance apart.

(–6, a), (6, 3), d = 15

Problem: 31

Find the value of a if the coordinates of the points are the indicated distance apart.

Problem: 33

Find the value of a if the points with the given coordinates are the indicated distance apart.

Problem: 35

Plot the points and find the distance.

(3, –3) and (2, 1)

Problem: 37

Find if the triangle with the vertices T (1, –6), U (1, 3), V (–1, 5) is isosceles.

Problem: 39

Determine the lengths of the diagonals of the trapezoid with vertices

A(–3, 3), B(12, 8), C(7, 6), D(0, 7) to find if it is isosceles.

Problem: 41

Calculate the perimeter of the following figure to the nearest tenth.

Problem: 43

Calculate the perimeter of the following figure to the nearest tenth.

Problem: 45

The vertices of a parallelogram are (3, 6), (9, 13), (3, –1), and (9, 6).

Sketch the parallelogram, and use the distance formula to verify that opposite sides have equal length.

Problem: 47

Sketch the graph of the points (–2, 3), (–2, 5), and (0, 3). Verify whether they form the vertices of a right triangle.

Problem: 49

Using the distance formula, obtain the perimeter of the given geometric figure.

Hotmath Practice Problems

Section 12-5

The Distance Formula