
Concept explainers
a.
The triangle ABC in the coordinate plane.
a.

Explanation of Solution
Given:
The given Points of triangle are,
The given points are the vertices of the triangle.
Plot the above points in a coordinate plane and join the points to form the triangle.
The figure showing triangle ABC is shown below.
b)
The altitude from vertex B of the triangle to the side AC.
b)

Answer to Problem 80E
Explanation of Solution
Given:
The given Points of triangle are,
Concept Used:
The altitude from vertex B divides the line joining vertex A and C in two equal parts.
The mid-point formula is given by,
The distance formula is given by,
Calculation:
As per the given problem
Substitute the values from point A and C in mid-point formula.
The coordinates of mid-point of line AC is
The altitude is the line from point D to point B.
Substitute the values from in distance formula.
Conclusion:
Hence, the length of the altitude from vertex B of the triangle to the side AC is
c.
The area of the triangle ABC.
c.

Answer to Problem 80E
The area of the triangle ABC is
Explanation of Solution
Given:
The given Points of triangle are,
Concept Used:
The distance formula is given by,
The area of the triangle is,
Calculation:
As per the given problem,
Substitute the values from point A and C in distance formula.
Substitute the values in the formula of area.
Conclusion:
The length of the altitude from vertex B of the triangle to the side AC is
Chapter 10 Solutions
Precalculus with Limits
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