Simple. Just multiply the base by the height of the triangle, and divide it into two. This works for all types of triangles.
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(c2) / (2 cot A + cot B) = Area of Triangle ABC
You do not indicate if the given area is the total area of the square and the triangle. Or whether they are equal values.
The relation between the height of a triangle, its base and its area is given by: Area = 0.5 * Base * Height Therefore, we have: Height = (2 * Area)/ Base.
area of a triangle is given by the formula 1/2 * base *height therefore the area of the following is 1440 unit square
Answer: That will depend entirely on what type of triangle it is but in general:- Area of any triangle = 0.5*base*perpendicular height Answer: You'll probably have to use some trigonometry. Use one of the given lengths as the base (horizontal, along the x-axis). Calculate the perpendicular height using this side and the total area. Then use trigonometry to calculate at what angle you need to place the second given side. From this information, you can get the coordinates of the two endpoints (for simplicity, the two given sides should intersect at the origin). Then use the Pythagorean Formula to calculate the length of the third side. - In theory, you could also use Heron's Formula, but solving this formula for one of the sides looks rather complicated. But you could do it with trial and error.