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# How do you find the height of a scalene triangle?

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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.

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A 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.

## Related Questions

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A real-life example of a scalene triangle is a roof truss as used in the building roofs on houses and buildings. Other examples include ramps and sails. A scalene triangle is defined as a triangle with no equal sides and no three angles the same.

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The height of an equilateral triangle is equal to the square root of three divided by two and multiplied by the length. The equation for the height of an equilateral triangle is based on the Pythagorean Theorem.

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The area of a parallelogram can be calculated by multiplying the length of the base by the height to the top, perpendicular to the base. Either edge on either set of sides can be oriented to be the base. The formula for a parallelogram's area is similar to that of a rectangle, because a rectangle is a special type of parallelogram.