SOLUTION: Fin the area of a triangle whose vertices have coordinates of (0,9), (0,

SOLUTION: Fin the area of a triangle whose vertices have coordinates of (0,9), (0, - 4), (5, -4).

Question 234536: Fin the area of a triangle whose vertices have coordinates of (0,9), (0, - 4), (5, -4).
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

The first thing to do is plot the three points and draw the triangle so that you can see what you have to work with.

You can tell from the fact that two of the points have identical

-coordinates that one of the sides of the triangle is a vertical line segment. You can also see that two of the points have identical

-coordinates, so another side of the triangle is a horizontal line segment.

Having one side vertical and another side horizontal tells us that this is a right triangle. We can say the base is either one of these two sides and the height is the other.

In order to compute the area, use the formula:

where

is the measure of the base and

is the measure of the height. Now all we need are those measurements.

Given the coordinates of two points you can find the distance between them using the distance formula:

Where

and

are the coordinates of the two points.

Let's call line segment BC the base. B has coordinates

and C has coordinates

. Substitute these values into the distance formula:

hence the measure of the base is 5.

Do the same process to calculate the measure of the height, that is line segment AB. Then use these values in the Area Formula to calculate your area.

John

RELATED QUESTIONS
Find the area of a triangle whose vertices have coordinates (0,9), (0,-4), and... (answered by Edwin McCravy)

Find the area of the triangle whose vertices are (3; 4) ; (-2; 5) ;... (answered by Fombitz)

Find the area of the triangle whose vertices have coordinates (-8,3), (-8,-4), and... (answered by Alan3354)

Find the area of a triangle whose vertices have coordinates (0,9),(0,-4),(5,-4). I... (answered by richwmiller)

What's the area of a triangle whose vertices have coordinates (-1,2), (-1,-1), and... (answered by checkley71,josmiceli)

Please help me solve this equation Find the area of a triangle whose vertices are (3,4),... (answered by Alan3354,ikleyn)

A vertical line divides the triangle with vertices (0, 0), (9, 0) and (8, 4) into two... (answered by ikleyn)

find the area of the rectangle whose vertices are the points with coordinates... (answered by Cromlix)

Find the area of the rectangle whose vertices are the points with coordinates... (answered by MathLover1)