To find the height of a scalene triangle, the formula for the area of a triangle is necessary. The equation is area = 1/2hb, where h is the height and b is the base. However, before using this formula, other calculations are required.
Continue ReadingA scalene triangle has three sides that are unequal in length, and the three angles are also unequal. To find the height of a scalene triangle, the three sides must be given, so that the area can also be found. If a scalene triangle has three side lengths given as A, B and C, the area is given using Heron's formula, which is area = square root{S (S - A)x(S - B) x (S - C)}, where S represents half the sum of the three sides or 1/2(A+ B+ C).
To find the height h from the given triangle area formula, rearrange it as h = 2(area)/b. Let b equal the side length B and find the area A with Heron's formula. In triangles, the measurement for height is given at 90 degrees to the base.
Learn more about Geometry