The formula to calculate the area of an isosceles triangle without height is given as,Īrea of isosceles triangle = b/2 × √(a 2 − b 2/4) The expression to calculate the area of an isosceles triangle without height can be calculated using Heron's formula. How Do You Find the Area of an Isosceles Triangle Without Height? While area is the total region covered by the isosceles triangle, given as, ½ The formula for the perimeter of an isosceles triangle is given as, P = 2a + b units. The perimeter of an isosceles triangle is defined as the length of the boundary of an isosceles triangle. The altitude of an Isosceles Triangle = √(a 2 − b 2/4) unitsĪ = measure of equal sides of the isosceles triangle What is the Perimeter and Area of an Isosceles Triangle? The formula to calculate the height of an isosceles triangle is given as, The height or altitude of an Isosceles Triangle can be calculated by applying the Pythagorean Theorem for any two sides. Β = measure of the angle opposite to the base How Do You Find the Height Using Area of an Isosceles Triangle? Α = measure of equal angles of the isosceles triangle Area formula for an isosceles right triangle: Area = ½ × a 2Ī = measure of equal sides of the isosceles triangle.Using two angles and length between them: A =.Using the length of 2 sides and an angle between them: Area = ½ × b × a × sin(α).Using base and Height: Area = ½ × b × h.The area of an isosceles triangle can be calculated in many ways based on the known elements of the isosceles triangle. The area of an isosceles triangle refers to the total space covered by the shape in 2-D. What is the Formula for Area of Isosceles Triangle? The perpendicular from the vertex angle bisects the base and it also bisects the vertex angle.The side opposite the vertex angle is called the base and base angles are equal.The two equal sides of an isosceles triangle are called the legs and the angle between them is called the vertex angle or apex angle.Here are some properties of an Isosceles triangle that distinguish it from other types of triangles: What is an Isosceles Triangle?Īn isosceles triangle is defined as a triangle having two sides equal, which also means two equal angles. Thus, the area of an isosceles triangle means the total space enclosed by an isosceles triangle. The area of a figure is the region enclosed by the figure.

⇒ Area = (a + b/2 − a) × √Īrea of isosceles triangle = b/2 × √(a 2 − b 2/4) square unitsįAQs on Area of an Isosceles Triangle What Does the Area of an Isosceles Triangle Mean? Here, s is half of the perimeter of the triangle, and hence, it is called semi-perimeter. We know that the perimeter of a triangle with sides a, b, and c is a + b + c.

s is the semi perimeter of the triangle.

a, b, and c are the sides of the triangle.

The Heron's formula to find the area, A of a triangle whose sides are a,b, and c is: Heron's formula is used to find the area of a triangle when the measurements of its 3 sides are given. The area of an isosceles triangle formula can be easily derived using Heron’s formula as explained in the following steps.

β = measure of the angle opposite to the base.

α = measure of equal angles of the isosceles triangle.

a = measure of equal sides of the isosceles triangle.

Length of 2 sides and an angle between them.

Known Parameters of Given Isosceles Triangleįormula to Calculate Area (in square units) The following table summarizes different formulas that can be used to calculate the area of an isosceles triangle, for a different set of known parameters.

The general basic formula that can be used to calculate the area of an isosceles triangle using height is given as, (1/2) × Base × Height Isosceles Triangle Area Using Trigonometry(SAS and ASA) Isosceles Triangle Area Using Heron’s Formula Let us understand the area of the isosceles triangle in detail in the following section. Scalene Triangle- A triangle with all unequal sides.Isosceles Triangle- A triangle with any two sides/angles equal.Equilateral Triangle- A triangle with all sides equal.These different types based on sides are given below: Besides the general area of the isosceles triangle formula, which is equal to half the product of the base and height of the triangle, different formulas are used to calculate the area of triangles, depending upon their classification based on sides. The area of an isosceles triangle is the amount of space enclosed between the sides of the triangle.

Right isosceles triangle calculator