The distance between P to l.
Answer to Problem 21PT
The required distance is 2.68 units.
Explanation of Solution
Given:
Line l contains points:
And
Point:
Solution:
Slope of line l:
Now,
Using point,
Equation of line:
Now,
Suppose a line “s” perpendicular to given line l passing through point
So, the slope of line “s” will be negative reciprocal of the slope of given line l which is 1/2.
Therefore,
Slope of line “s” is -2.
Equation of line “s”:
Now, on solving equation 1 and 2,
Point of intersection:
So,
On putting the value in equation 2,
Point of intersection:
Suppose the point of intersection is T
Therefore,
The distance between the point
Using distance formula:
Thus, the required distance is 2.68 units.
Chapter 3 Solutions
Geometry, Student Edition
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