triangular prism surface area without height

Triangular prism surface area without height how to#

All the other versions may be calculated with our triangular prism calculator. To find the area of a triangle, multiply 1/2 x base x height. The only option when you can't calculate triangular prism volume is to have a given triangle base and its height (do you know why? Think about it for a moment). Using law of sines, we can find the two sides of the triangular base:Īrea = (length * (a + a * (sin(angle1) / sin(angle1+angle2)) + a * (sin(angle2) / sin(angle1+angle2)))) + a * ((a * sin(angle1)) / sin(angle1 + angle2)) * sin(angle2) Triangular base: given two angles and a side between them (ASA) Using law of cosines, we can find the third triangle side:Īrea = length * (a + b + √( b² + a² - (2 * b * a * cos(angle)))) + a * b * sin(angle) Triangular base: given two sides and the angle between them (SAS) However, we don't always have the three sides given. area = length * (a + b + c) + (2 * base_area) = length * base_perimeter + (2 * base_area).If you want to calculate the surface area of the solid, the most well-known formula is the one given three sides of the triangular base : You can calculate that using trigonometry: Length * Triangular base area given two angles and a side between them (ASA) You can calculate the area of a triangle easily from trigonometry:

Triangular prism surface area without height how to#

Learn how to find the volume and the surface area of a prism. Length * Triangular base area given two sides and the angle between them (SAS) A prism is a 3-dimensional object having congruent polygons as its bases and the bases are j. If you know the lengths of all sides, use the Heron's formula to find the area of the triangular base: Length * Triangular base area given three sides (SSS) It's this well-known formula mentioned before: Length * Triangular base area given triangle base and height Our triangular prism calculator has all of them implemented. There is a single formula you can use to calculate the surface area of a triangular prism:SA bh + (s1 + s2 + s3)HIn the above formula, b the base and h the height of the triangle, s1, s2, and s3 the length of each side of the triangle, and H the prisms height (which is the same as the rectangles length). A general formula is volume = length * base_area the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. In the triangular prism calculator, you can easily find out the volume of that solid.