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Example: Construct Isosceles Right Triangle

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Explanation:

Triangle

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.

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

# Right triangle

Right triangle

A right triangle (American English) or right-angled triangle (British English) is a triangle in which one angle is a right angle (that is, a 90degree angle). (Our solved example in mathguru.com uses this concept)

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

(Our solved example in mathguru.com also uses the below concept. This is our own explanation, it is not taken from Wikipedia.)

To construct an isosceles right angled triangle (if the measure of 1 side is given)

Steps of Constructions:

1.       Draw a rough sketch with given measures.

2.       Draw a line segment CB of length x units.

3.       With C as centre, draw an arc of radius x units.

4.       Join AB.

Hence, ABC is the required triangle.