area of an isosceles triangle with sides 10 10 and 16

Therefore, the perimeter (P) of this isosceles triangle measures 25 cm. The equation to evaluate the perimeter (P) of an isosceles triangle is: ∴ The isosceles triangle has an area of 20 square centimeters.Įvaluate the perimeter of an isosceles triangle with two equal sides measuring 9 centimeters each and a base of 7 cm. We can find the area (A) of the isosceles triangle using the formula: Solved Examples of isosceles TriangleĮvaluate the area of an isosceles triangle with a height of 8 cm and a base of 5 cm. Thus, the two equal angles in the isosceles triangle both measure 50 degrees. Next, subtract 80° from both sides to isolate 2y:įinally, divide both sides by 2 to find the value of y: You can easily determine the measures of the other two angles using the angle sum property when one of the unequal angles is given.Ĭonsider an isosceles triangle where one of the unequal angles measures 80° and the two equal angles are denoted by y. Angle of Isosceles TrianglesĪngles in an isosceles triangle are related in a specific way due to the symmetry of the triangle. Here, a represents the length of the identical sides of the isosceles triangle, while b indicates the length of the third side, which is not equal to the other two. You can use the following formula to determine the perimeter of an isosceles triangle:.This formula can be used to find the area of an isosceles triangle:.Formula to Determine the Area and Perimeter of Isosceles Triangles The other two angles are equal and acute, known as the base angles. Right Isosceles Triangle:Ī right isosceles triangle is characterized by one right angle, which measures 90 degrees, typically located at the vertex. The other two angles are acute and equal, forming the base angles. Obtuse Isosceles Triangle:Īn obtuse isosceles triangle has one obtuse angle, which is an angle greater than 90°, typically occurring at the vertex. The two base angles and the vertex angle are all acute. In this type, all three interior angles are acute angles, which means they are less than 90 degrees. Here are the main types of isosceles triangles: Isosceles triangles can be categorized into different types based on their unique properties. The line drawn from the vertex angle to the midpoint of the base bisects the triangle into two congruent right triangles.The angle opposite the base in an isosceles triangle is generally larger than the base angles.This property is a direct consequence of the equal side lengths. An isosceles triangle always has congruent angles at the base.Two congruent sides are the most defining characteristic of an isosceles triangle.Here are some notable characteristics of isosceles triangles: Isosceles triangles possess particular characteristics that distinguish them from other types of triangles. Useful Properties of an Isosceles Triangles The congruent angles are always opposite the sides that have the same length. Therefore, an isosceles triangle has two congruent and one different angle. The angles opposing the legs have the equal measurement. These two sides are known as the legs of the triangle and the third side is referred to as the base. Definition of Isosceles TriangleĪn isosceles triangle is a particular type of triangle in which two sides have an equal length. We will dive deep into the world of isosceles triangles, exploring their properties, types, and many examples. We will confine ourselves to only the isosceles triangle in this blog. The triangle has three types based on its sides in Geometry, such as: Therefore, an isosceles triangle is defined by having two sides of the same length, which are often called legs, and a third side called the base, which is either longer or distinct from the legs. The word isosceles originates from Greek words isos meaning equal, and skelos, meaning leg. Triangles with at least two equal sides are referred to as isosceles triangles.

Area of an isosceles triangle with sides 10 10 and 16