The coordinates of a right triangle are (-2, 4), (-6, -6), (3,2), find the area of the triangle ?
A. √ 29 B. 29 C. √ 27 D. 27 E. 31
OA B
A. √ 29 B. 29 C. √ 27 D. 27 E. 31
OA B
There is a formula to calculate the area of a triangle ABC,jainrahul1985 wrote:The coordinates of a right triangle are (-2, 4), (-6, -6), (3,2), find the area of the triangle ?
Where, Ax is the x coordinate of A and so on...
Therefore, area of the triangle = |(-2)*(-6 - 2) + (-6)*(2 - 4) + 3*(4 - (-6))|/2 = |16 + 12 + 30|/2 = 58/2 = 29
The correct answer is B.
Also we can utilize the fact that the triangle is right angled one. In that case the area of triangle = (Product of the smaller two sides)/2
