Mathguru – Help – Using Pythagoras theorem find the original height of a broken tree if some parameters are given.

6.5 Right-Angled Triangles and Pythagoras Property > No. 5

Using Pythagoras theorem find the original height of a broken tree if some parameters are given.

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Explanation:

Pythagorean Theorem

The Pythagorean Theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c).

In mathematics, the Pythagorean Theorem or Pythagoras' Theorem is a relation in Euclidean Geometry among the three sides of a right triangle (right-angled triangle). In terms of areas, it states:

In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

The theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:

$Description: a^2 + b^2 = c^2\!\,$

where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides. (Our solved example in mathguru.com uses this concept)

http://en.wikipedia.org/wiki/Pythagorean_theorem

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.