How To Find The Length Of The Base In An Isosceles Triangle: Formulas And Methods

base of an isosceles triangle

The third side of an isosceles triangle

In an isosceles triangle, the base refers to the side that is not congruent to the other two sides. It is the side that forms the bottom of the triangle and the other two sides meet at the apex or the top of the triangle.

To find the perimeter of an isosceles triangle, we usually need to know the length of two sides and the length of the base. To find the length of the base, we can use the following formula:

Base = (Perimeter – 2 x Length of congruent sides)/2

Alternatively, if we know the area of the isosceles triangle, we can use the following formula to find the length of the base:

Base = 2 x Area/Length of congruent side

It is worth noting that in some cases, the base of an isosceles triangle may also be one of its altitudes or height, especially when the triangle is drawn in a way that the base is horizontal.

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