Using Heron’s formula to find the area of the isosceles triangle: An isosceles triangle has side lengths of 7 cm, 7 cm, and 10 cm.
Therefore, the area of the isosceles triangle is 24 square cm.Įxample 3. Given an isosceles triangle with a base of length 8 cm and a height of 6 cm. Therefore, the area of the isosceles triangle is 10 square inches.Įxample 2. Using the formula for the area of an isosceles triangle: In an isosceles triangle, the lengths of the two equal sides are both 5 inches, and the height is 4 inches. Solved Examples on the Area of Isosceles Triangle:Įxample 1. It is important to note that the area of an isosceles triangle is always non-negative and is expressed in square units, such as square centimetres (cm²) or square inches (in²). Substituting the lengths of an isosceles triangle, we get, Where, s is the semi perimeter of the triangle and a, b and c are lengths of sides of a triangle. Heron’s formula is a general formula for calculating the area of any triangle using the lengths of its sides. If the lengths of all three sides of the isosceles triangle are known, Heron’s formula can be used to calculate the area.
It is important to ensure that the height is measured perpendicularly to the base for accurate calculations. In this formula, the base and height are multiplied by half to obtain the area. The formula to find the area of an isosceles triangle using the base and height is: The base refers to the length of the unequal side, while the height represents the perpendicular distance from the base to the opposite vertex or the midpoint of the base. The most common way to calculate the area of an isosceles triangle is by utilizing the base and height of the triangle.
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