![]() 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.” The pair of equal angles are at the base of this triangle as they are opposite the two equal side lengths and so the angle at B is equal to the angle. Locate known angles, including the pair of equal angles, and calculate any necessary unknown angles. Thus, in an isosceles right triangle, two legs and the two acute angles are congruent. Since the two legs of the right triangle are equal in length, the corresponding angles would also be congruent. According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite to the congruent sides are equal. Example 1: finding the missing angle in an isosceles triangle. An Isosceles Right Triangle is a right triangle that consists of two equal length legs. Isosceles triangle theorem states that “In an isosceles triangle, the angles opposite to the equal sides are equal. Example 1: In the given figure below, find the value of x using the isosceles triangle theorem. ![]() Therefore ∆ABC is an Isosceles triangle.Īpplying Pythagoras theorem in ∆ABD, we have ![]() In our calculations for a right triangle we only consider 2 known sides to calculate the other 7 unknowns. If two sides are equal, then the angles opposite to these sides are also equal.įor example, in the following triangle, AB = AC. An isosceles triangle is a special case of a triangle where 2 sides, a and c, are equal and 2 angles, A and C, are equal. 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. Examples of Isosceles Triangle: Alt tag: Examples of an isosceles triangle. The three angles are the angles made at these vertices, i.e. What Is an Isosceles Triangle A triangle with two sides of equal length is an isosceles triangle. In the above triangles, the three vertices are A, B and C.
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