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In geometry, an isosceles triangle (/ aɪ ˈ s ɒ s ə l iː z /) is a triangle that has two sides of equal length or two angles of equal measure. Sometimes it is specified as having exactly two sides of equal length, and sometimes as having at least two sides of equal length, the latter version thus including the equilateral triangle as a special case.
The area of a triangle can be demonstrated, for example by means of the congruence of triangles, as half of the area of a parallelogram that has the same base length and height. A graphic derivation of the formula T = h 2 b {\displaystyle T={\frac {h}{2}}b} that avoids the usual procedure of doubling the area of the triangle and then halving it.
The area formula for a triangle can be proven by cutting two copies of the triangle into pieces and rearranging them into a rectangle. In the Euclidean plane, area is defined by comparison with a square of side length , which has area 1. There are several ways to calculate the area of an arbitrary triangle.
However, points with such distances cannot exist: the area of the 26–26–26 equilateral triangle ABC is , which is larger than three times , the area of a 26–14–14 isosceles triangle (all by Heron's formula), and so the arrangement is forbidden by the tetrahedral inequality.
The area of an equilateral triangle with edge length is =. The formula may be derived from the formula of an isosceles triangle by Pythagoras theorem : the altitude h {\displaystyle h} of a triangle is the square root of the difference of squares of a side and half of a base . [ 3 ]
The John F. Kennedy Presidential Library and Museum in Boston closed abruptly Tuesday due to a "sudden dismissal of federal employees," but was expected to reopen Wednesday, officials said.. The ...
In this example, the triangle's side lengths and area are integers, making it a Heronian triangle. However, Heron's formula works equally well when the side lengths are real numbers. As long as they obey the strict triangle inequality, they define a triangle in the Euclidean plane whose area is a positive real number.
(The Center Square) – Street racers could soon face a rude awakening under legislation considered by state lawmakers on Thursday to require speed-limiters for certain offenses. Rep. Mari Leavitt ...