What is the area of the triangle formed by joining points A(0, 0), B(0, 6), and C(8, 4)?

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Solution

Lets first plot the points on xy plane

Point A( 0,0) is situated at the origin
For point B( 0, 6) the x coordinate is 0 and y coordinate is 6
For point C(8, 4) the x coordinate is 8 and y coordinate is 4
Joining all these 3 points we get :

Let AB be the base of the triangle.

Draw CD Parallel to x – axis. Coordinates of point D are (0, 4).

Because CD is perpendicular to AB, and is drawn from the vertex opposite to AB, CD is the altitude to base AB.

Length of AB = 6 Units.
Length of CD = 8 units.
Area of the triangle = 1/2 x base x altitude
= 1/2 x 6 x 8
= 24 sq. units

Answer: 24 sq. units

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