Area of Non-right Triangles QuickCheck

1 answer

1. To find the area of a non-right triangle, you can use the formula:

Area = (1/2) * base * height

where the base is the length of one side of the triangle, and the height is the perpendicular distance from the base to the opposite vertex.

2. If you are given the lengths of all three sides of the triangle, you can use Heron's formula to find the area.

Heron's formula states:

Area = sqrt(s * (s - a) * (s - b) * (s - c))

where a, b, and c are the lengths of the sides of the triangle, and s is the semi-perimeter of the triangle (s = (a + b + c) / 2).

3. If you are given the coordinates of the vertices of the triangle, you can use the Shoelace formula to find the area.

The Shoelace formula states:

Area = 0.5 * |(x1y2 + x2y3 + x3y1) - (y1x2 + y2x3 + y3x1)|

where (x1, y1), (x2, y2), and (x3, y3) are the coordinates of the vertices of the triangle.

4. Make sure to always double-check your calculations and units when finding the area of a non-right triangle.
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