A few days ago
How do you find the area of a tringle when it only gives you the vertices???
How do you find the area of a tringle when it only gives you the vertices???
Top 3 Answers
A few days ago
Favorite Answer
If the vertices are A(x1, y1), B(x2, y2) and C(x3, y3) then the sides are of length:
AB = sqrt[ (x2 – x1)^2 + (y2 – y1)^2 ]
and two other similar formulae for BC and CA.
When you have the lengths of the three sides call these a, b and c.
Calculate s = (a + b + c)/2.
The area is then:
sqrt( s(s – a)(s – b)(s – c) ).
There may be a far simpler method if it is evident that the triangle is right-angled, but you haven’t suggested this.
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A few days ago
Plot out the points on graph paper. If the base of the triangle is flat you can calculate area with 1/2 (base)(height). You might need to use some of your geometry skills to find lengths.
If you are in a higher math you could use a matrices (1/2)(DET) I think. Good luck!
Maybe you should edit the question and tell us the vertices.
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A few days ago
If it is a right triangle use trigonometric ratios to determine the length of the sides.
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