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Example: Finding Area and Height of a Triangle

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A triangle is one of the basic shapes of geometry: a polygon with three corners or vertices and three sides or edges which are line segments. A triangle with vertices A, B, and C is denoted  ABC.


In an isosceles triangle, two sides are equal in length. An isosceles triangle also has two angles of the same measure (Our solved example in mathguru.com uses this concept); namely, the angles opposite to the two sides of the same length; this fact is the content of the Isosceles triangle theorem. Some mathematicians define an isosceles triangle to have exactly two equal sides, whereas others define an isosceles triangle as one with at least two equal sides. The latter definition would make all equilateral triangles isosceles triangles.


Computing the area of a triangle


The area of a triangle can be demonstrated as half of the area of a paralellogram which has the same base length and height.

Calculating the area of a triangle is an elementary problem encountered often in many different situations. The best known and simplest formula is:

where b is the length of the base of the triangle, and h is the height or altitude of the triangle. (Our solved example in mathguru.com uses this concept)

The term 'base' denotes any side and 'height' denotes the length of a perpendicular from the vertex opposite the side onto the line containing the side itself.




The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.