isosceles triangle | right | obtuse | acute isosceles triangle

Definition of An isosceles triangle
A Triangle with two equal side is an Isosceles Triangle (if two side of triangle equal in length then two angles of triangle also equal), So now Definition is like "A Triangle with two equal side and Two equal Angles" is an isosceles triangle. 

Length a=b and angle α is equal(see in below picture/image)

isosceles triangle theorem
If angles, then sides: If two angles of a triangle are congruent, then the sides opposite those angles are congruent.
If sides, then angles: If two sides of a triangle are congruent, then the angles opposite those sides are congruent.

Area and Perimeter of isosceles Triangle
perimeter of isosceles triangle=2a+b
Area of isosceles Triangle=1/2*b*h
here h=height of isosceles Triangle,b=base of isosceles Triangle

Types Of isosceles Triangles
acute isosceles triangle:
An ACUTE isosceles(all angles are acute) triangle contains three acute angles (each angle of an acute triangle is less than 90 degrees).sum of the angles of a triangle is always 180 degrees. An acute triangle may be isosceles, equilateral, or scalene.

obtuse isosceles triangle:
Obtuse isosceles triangles have one angle that is greater than 90° degrees.(Obtuse triangles have one obtuse angle).sum of the angles of a triangle is always 180 degrees.An obtuse triangle may be scalene or isosceles.

right isosceles triangle:
The right isosceles triangle has one 90 degree angle and two acute (< 90 degree) angles.sum of the angles of a triangle is always 180 degrees.A right triangle may be scalene or isosceles.

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