Areas of Triangles. This is the currently selected item. Pictures, examples and many practice problems on how to find the area of a triangle from its base and its height. where a and b are two sides of the triangle and theta is the angle formed between those two sides. The conventional method of calculating the area of a triangle (half base times altitude) with pointers to other methods and special formula for equilateral triangles. Geometry can be fun, but it can also give you a massive headache if you’re not sure what formulas to use or how to approach a problem. The trig formula for finding the area of a triangle is. The most important thing is that the base and height are at right angles. Area of a Triangle tutorial. Use of the different formulas to calculate the area of triangles, given base and height, given three sides, given side angle side, given equilateral triangle, given triangle drawn on a grid, given three vertices on coordinate plane, given three vertices in 3D space, examples with step by step solutions The area of a triangle is defined as the total space that is enclosed by any particular triangle. There are many different formulas that one can use to calculate the area of a triangle. This is the most common formula used and is likely the first one that you have seen. The area of a polygon is the number of square units inside that polygon. When we know the base and height it is easy. that Involve Right Triangles. Heron (or Hero) of Alexandria found what is known as Heron's formula for the area of a triangle in terms of its sides, and a proof can be found in his book, Metrica, written around 60 CE. This free triangle calculator computes the edges, angles, area, height, perimeter, median, as well as other values of a triangle. An obtuse triangle is any triangle that contains an obtuse angle -- an angle that is greater than 90 degrees.The formula for finding the area of an obtuse triangle is the same as for other triangles, area = 1/2 x (base x height).However, because an obtuse triangle's height does not match the height of any of its sides, the method of finding the height of the figure is different. The basic formula to find the area of a given triangle is A = 1/2 × b × h, where b is the base and h is the height of the given triangle, whether it is scalene, isosceles or equilateral. The formula for the area of a triangle is A= o.5 x h x w, or if you like to use fractions, A= 1/2 x h x w. Scroll down the page if you need more explanations about the formulas, how to use them as well as worksheets. Observe that this is exactly half the area of a rectangle which has the same base and height. Triangle area. A logical reasoning for this is that you can make … Includes a calculator for find the area. It is simply half of b times h. Area = 12 bh (The Triangles page explains more). In Geometry, a triangle is the 3 – sided polygon which has 3 edges and 3 vertices. Area of triangles. Includes a calculator for find the area. The following table gives the formulas for the area of triangles given some properties about the triangles.