Embibe’s Free Online Study ResourcesĮmbibe is providing free study material for Class 8 to Class 12 students for subjects like Physics, Chemistry, Biology, and Maths. Therefore, the perimeter of the isosceles triangle is 20 cm. We know that the formula to calculate the perimeter of an isosceles triangle is P = 2a + b units Solution: As per the given data, the length of base is 4 cm and the other two side of length 8 cm each. Question 02: Find the perimeter of an isosceles triangle, with a side of 8 cm and a base of 4 cm. Using the formula to calculate the are of Isosceles Triangle, we have, Solution: As per the given data, height as 8 cm and base as 6 cm. Question 01: Find the area of an isosceles triangle given its height as 8 cm and base as 6 cm? Let’s go through some of the solved examples from below: Isosceles Obtuse Triangle: The Isosceles Triangle in which the two equal sides of the triangle make an angle greater than 90 degrees is called an Isosceles Obtuse Triangle. Where a is the two equal sides and h is the hypotenuse. Let the sides of the right isosceles triangle are a, a, and h. Isosceles Right Triangle: The Isosceles Triangle in which the two equal sides of the triangle make an angle of 90 degrees is called an Isosceles Right Triangle.Īs it is a right angles triangle, we can apply the Pythagoras theorem. The Isosceles Triangle in which the two legs (equal sides) make an angle less than 90 degrees is called an Isosceles Acute Triangle. Let’s go through the three different types of Isosceles triangle from below: Note that, based on the angle made by the two equal sides of an Isosceles Triangle, the triangles are classified as Isosceles acute, Isosceles right and Isosceles obtuse triangle. Isosceles Triangle are classified into different types namely, Where ‘b’ is the base and ‘h’ is the height. For Isosceles Triangle, the area is given by: The area of a triangle is half the product of the base and height. The area occupied by the Isosceles Triangle in the two-dimensional space is called the area of the Isosceles Triangle. Practice 11th CBSE Exam Questions Area of Isosceles Triangle Perimeter of Isosceles Triangle (P) = 2a + b units If, ‘a’ is the length of the equal sides (legs) and ‘b’ is the length of the unequal side (base). Perimeter of Isosceles Triangle = Sum of Length of two equal sides + Length of the other unequal side The formula to calculate the perimeter of the isosceles triangle is given by: For this triangle the perimeter can be found using the length of the base and side. The perimeter of a triangle is the sum of the length of all three sides. With the knowledge of anyone angle, the other two angles can be calculated as we know that the sum of angles in a triangle is 180 degrees (as per the properties of triangle).The angle which involves the base of the triangle is known as the ‘base angles’.The angle made by the two equal sides of an isosceles triangle is known as the Vertex angle. A right isosceles triangle has a third angle as 90 degrees.The altitude of an Isosceles Triangle is measured from the base to the topmost vertex (angle made by the two legs) of the triangle.The angles opposite to the two equal sides of the triangle is always equal.Two sides of the Triangle are equal and are known as ‘Legs’.Some of the characteristics of Isosceles triangles and the rules are as follows. Check Triangle And Its Properties NCERT Solutions Here Properties of Isosceles Triangle
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