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plot each point and form the triangle ABC.Verify that the triangle is a right triangle. Find its area.

0 votes
A =(-2,5); B = (1, 3), C = (-1, 0)
asked Jan 8, 2015 in PRECALCULUS by anonymous
edited Jan 8, 2015 by bradely

1 Answer

0 votes

Step 1:

The points are image, image and image.

Graph:

Plot the points  image, image and  image.

Connect the plotted points.

image

Step 2:

The distance between image and image is image.

The distance between image and image is

image

The distance between image and image is

image

The distance between image and image is

image

 

Pythagoras theorem:

For right angled triangle, square of hypotenuse is equal to sum of squares of other two sides.

image

As Pythagoras theorem is satisfied, ΔABC is right angled triangle.

Step 3:

The area of a triangle is image.

Where image and image.

image

image

Solution:

ΔABC is right angled triangle.

Area of ΔABC is 6.5 sq-units.

answered Jan 8, 2015 by Sammi Mentor

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