Find the area of the triangle with vertices
Asked by admin @ in Math viewed by 326 People
Determine the area of the triangle with vertices A(1, 1,2) B (2,4,6) C(0,5,5)
Asked by admin @ in Math viewed by 326 People
Determine the area of the triangle with vertices A(1, 1,2) B (2,4,6) C(0,5,5)
Answered by admin @
Formula to find area of a triangle:
Let the three vertices of the triangle be , , respectively and let the area of the triangle be .
Then,
Solution:
The vertices of the triangle are , and .
So we have:
(Expanding along )
,
(Expanding along )
and
(Expanding along )
Putting the values in the above formula to find area of a triangle in three dimensions, we get
where is the area of the given triangle
Answer: Therefore, the area of the given triangle is 6.062 sq. units.
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