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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.

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## 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 recursive formula for Sierpinski triangle is An=An-1*3. The procedure of constructing the triangle with this formula is called recursion. Alternatively, the Sierpinski triangle can be created using the explicit formula An=1*3(n-1), where (n-1) is the exponent.

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The formula for calculating the length of one side of a right-angled triangle when the length of the other two sides is known is a2 + b2 = c2. This is known as the Pythagorean theorem.