Right angled isosceles triangle formula8/18/2023 ![]() ![]() The sum of the lengths of the sides of the isosceles triangle is called its perimeter.Conversely, if the base angles of a triangle are equal, then the triangle is isosceles.” Isosceles triangle theorem states that “In an isosceles triangle, the angles opposite to the equal sides are equal. ![]() Therefore ∆ABC is an Isosceles triangle.Īpplying Pythagoras theorem in ∆ABD, we have If two sides are equal, then the angles opposite to these sides are also equal.įor example, in the following triangle, AB = AC. Now, let us understand the definition of an isosceles triangle.Ī triangle is said to be an Isosceles triangle if its two sides are equal. Also, ancient Babylonian and Egyptian mathematicians were of the know-how on the calculations required to find the ‘ area’ much before the ancient Greek mathematicians started studying the isosceles triangle. The term isosceles triangle is derived from the Latin word ‘īsoscelēs’, and the ancient Greek word ‘ἰσοσκελής (isoskelḗs)’ which means “equal-legged”. The three sides of the triangle above are AB, BC and AC. An exterior angle of a triangle is formed by any side of a triangle and the extension of its adjacent side. These angles are also called the interior angles of a triangle. The angle formed at A can also be written as ∠BAC. The three angles are the angles made at these vertices, i.e. As we know that the area of a triangle (A) is ½ bh square units Where b is the base of the triangle h is the altitude of the triangle In an isosceles right triangle, two legs are of equal length. In the above triangles, the three vertices are A, B and C. ![]()
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