# Area of an Isosceles Triangle

## Online Tutoring Is The Easiest, Most Cost-Effective Way For Students To Get The Help They Need Whenever They Need It.

A triangle is a geometric shape bounded by 3 sides. An isosceles triangle is a triangle which has the lengths of any two sides of the triangle equal to each other. Since the two side lengths are equal, hence the opposite angles of the equal sides are also equal to each other. Area of an isosceles triangle is the region covered inside the triangle by all its 3 sides.

Example 1: Calculate the area of the isosceles triangle if the length of a side is 6m and the length

of the perpendicular drawn to the given side is 3m.

Given the length of a side = base length, b = 6m

The perpendicular drawn to a side from a vertex is the ‘height’ of the triangle.

Given the height of the triangle, h = 3m

Area of the isosceles triangle, A = 1/2 * (base length) * (height)

Area, A = 1/2 * (6m) * (3m) = 9m2

Area of the isosceles triangle, A = 9m2

Example 2: Calculate the area of the isosceles triangle if the length of the base is 7.5m and height

of the triangle is 5.5m.

Given the length of a side = base length, b = 7.5m

The perpendicular drawn to a side from a vertex is the ‘height’ of the triangle.

Given the height of the triangle, h = 5.5m

Area of the isosceles triangle, A = 1/2 * (base length) * (height)

Area, A = 1/2 * (7.5m) * (5.5m) = 20.625m2

Area of the isosceles triangle, A = 20.625m2