Area of Isosceles Triangle Formula with Sides

When the length of equal sides and the length of the base of an isosceles triangle are given, then the height of the triangle can also be calculated by the given formula:

Altitude of an Isosceles Triangle = √(a2 − b2/4)

Area of Isosceles Triangle (if all sides are given) = ½[√(a2 − b2 /4) × b]

Where,

  • b = base of the isosceles triangle, and
  • a = length of the two equal sides.

How to Find the Area of an Isosceles Triangle?

To find the area of an Isosceles triangle follow these steps:

Step 1: Mark the length(l) and breadth(b) of the given triangle.

Step 2: Multiply the values obtained in step 1 and divide them by 2.

Step 3: The result obtained is the required area, it is measured in m2

Area of Isosceles Triangle

Area of an isosceles triangle is the space enclosed by the sides of a triangle. The general formula for finding the area of the isosceles triangle is given by half the product of the base and height of the triangle. Other than this different formulas are used to find the area of triangles. Triangles are classified depending on their sides, different types of triangles based on sides are given below:

Equilateral Triangle: Triangle with all three sides equal.

Isosceles Triangle: Triangle with any two sides equal.

Scalene Triangle: Triangle with all sides unequal.

Table of Content

  • What is the Isosceles Triangle?
  • What is the Area of an Isosceles Triangle?
  • Isosceles Triangle Formula
  • Area of Isosceles Triangle Formulas
  • Area of Isosceles Triangle Formula with Sides
  • How to Find the Area of an Isosceles Triangle?
  • Derivation for Area of Isosceles Triangle 
  • Area of Right Angled Isosceles Triangle
  • Area of Isosceles Triangle using Trigonometry

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