- #1
ns5032
- 28
- 0
How can I go about finding the area of a triangle with sides a, b, and c, assuming we do not already know a formula for it (such as Heron's Formula)? Kind of like a proof, I suppose.
I take it you mean set the triangle up so that one vertex is at the origin and another is along the positive x-axis. The difficulty with that is that, since you know only the lengths of the sides, you would have to break it into right triangles to determine the limits of integration. Once you have done that, it is simpler to find the area of the right triangles, mgb_phys' recomendation, than to integrate.PowerIso said:define a line as a side and integrate...
The formula for finding the area of a triangle is A = 1/2 * base * height, where A represents the area, 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.
Yes, the area of a triangle can be found using other methods such as finding the area of a rectangle and then dividing it in half, or by using trigonometric functions.
One way to find the area of a triangle without using a formula is by breaking it into smaller shapes, such as rectangles or trapezoids, and then finding their areas and adding them together.
Yes, the area of any type of triangle can be found without using a formula by using basic geometric principles, such as dividing the triangle into smaller shapes or using trigonometric functions.
There are several reasons why someone might want to find the area of a triangle without using a formula. For example, it can be a good exercise in geometry and problem-solving skills, or in situations where a formula is not readily available, such as in real-life scenarios or when working with non-standard triangles.