# Isosceles Triangle Calculator

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Lets first understand, what is an isosceles triangle and how we can find different properties of an isosceles triangle?

Triangle

A triangle is a polygon with three edges and three vertices. Triangle is one of the basic shapes in geometry.

Any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

An isosceles triangle is a triangle that has two sides of equal length.

The two equal sides are called the legs and the third side is called the base of the isosceles triangle.

Every isosceles triangle has an axis of symmetry along the perpendicular bisector of its base. The two angles opposite the legs are equal and are always acute. The vertex opposite the base of the isosceles triangle is called the apex.

Formulas

Let the equal sides of the Isosceles Triangle be \(a\) units,

and the unequal side of the Isosceles Triangle be \(b\) units.

Semi-perimeter (s) of the Isosceles Triangle will be \(\dfrac{1}{2}(2a+b)\) units.

Perimeter (P) of the Isosceles Triangle will be \((2a+b)\) units.

Area of the Isosceles Triangle is given by

$$A=\dfrac{b}{4} \sqrt{4a^2-b^2}\hspace{0.2cm}square\hspace{0.1cm}units.$$Inradius (r) of the Isosceles Triangle will be \(\left(\dfrac{A}{s}\right)\) units.

Circum-radius (R) of the Isosceles Triangle will be \(\left(\dfrac{a^2b}{4A}\right)\) units.

For calculating different properties of the Isosceles triangle using above Isosceles triangle calculator, you have to just write the values in the given input boxes and press the calculate button, you will get the result.