Dimension 3
“Point to point distance”
• Describe the distance between points in space
• Determine the distance between points in space
Prerequisite Material
Identify a right triangle
Pythagorean Theorem
Determine the length of the diagonal
• Side diagonal
• Space diagonal
what is point to point distance?
“Point-to-point distance is the length of the shortest path connecting one point to another”
A
B
Problem
Given a cube ABCD.EFGH with side length 10 cm.
Specify distance:
a. Point A to point C b. Point A to point G
c. Point A to point P, where P is in the plane EFGH
Exercises
1. It is known that regular pyramid T.A.C. has a base in the form of an equilateral triangle. TA is perpendicular to the plane of the base. If the length of AB = 4 2 cm and TA = 4 cm, find the distance between points T and C!
2. Consider the Consider thefollowing regular hexagon pyramid
It is known that the length of AB = 10 cm and TA = 13 cm. Point O is the midpoint of the line BE. Determine the distance between points T and O!