![]() ![]() The formula that is used in this case is:Īrea of an Isosceles Triangle = A = \(\frac\) where 'b' is the base and 'a' is the length of an equal side. ![]() The formula that is used in this case is:Īrea of an Equilateral Triangle = A = (√3)/4 × side 2 Area of an Isosceles TriangleĪn isosceles triangle has two of its sides equal and the angles opposite the equal sides are also equal. To calculate the area of the equilateral triangle, we need to know the measurement of its sides. The perpendicular drawn from the vertex of the triangle to the base divides the base into two equal parts. ![]() The formula that is used in this case is:Īrea of a Right Triangle = A = 1/2 × Base × Height Area of an Equilateral TriangleĪn equilateral triangle is a triangle where all the sides are equal. Therefore, the height of the triangle is the length of the perpendicular side. Area of a Right-Angled TriangleĪ right-angled triangle, also called a right triangle, has one angle equal to 90° and the other two acute angles sum up to 90°. The area of triangle formulas for all the different types of triangles like the equilateral triangle, right-angled triangle, and isosceles triangle are given below. The area of a triangle can be calculated using various formulas depending upon the type of triangle and the given dimensions. Let us learn about the other ways that are used to find the area of triangles with different scenarios and parameters. They can be scalene, isosceles, or equilateral triangles when classified based on their sides. Find the value of x and y in the following isosceles and equilateral triangles. Triangles can be classified based on their angles as acute, obtuse, or right triangles. Isosceles and Equilateral Triangles Worksheet. Solution: Using the formula: Area of a Triangle, A = 1/2 × b × h = 1/2 × 4 × 2 = 4 cm 2 All equilateral triangles are also isosceles triangles since every equilateral triangle has at least two of its sides congruent. 16:(5 16 PROOF Write a two -column proof. 16:(5 12 62/87,21 In the figure, 7KHUHIRUH WULDQJOH WXY is an isosceles triangle. Let us find the area of a triangle using this formula.Įxample: What is the area of a triangle with base 'b' = 2 cm and height 'h' = 4 cm? By the Converse of Isosceles Triangle Theorem, 7KDWLV. Observe the following figure to see the base and height of a triangle. However, the basic formula that is used to find the area of a triangle is: Trigonometric functions are also used to find the area of a triangle when we know two sides and the angle formed between them. Place the angles side by side at one vertex point, so that there are no gaps between the angles as shown below. It does not have to be the exact same size. Draw a triangle similar to the one shown below. For example, Heron’s formula is used to calculate the triangle’s area, when we know the length of all three sides. Activity: Look at the angles in the triangle below. The area of a triangle can be calculated using various formulas. ![]()
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