Thus, the interior angles of an isosceles. Therefore, in an isosceles right triangle, two sides and the two acute angles are equal. Since the two sides of the right triangle are equal in measure, the corresponding angles are also equal. The missing angle must, therefore, be 60. An isosceles right triangle is a type of right triangle whose legs (base and height) are equal in length. This article has been viewed 686,467 times. We were told that this is a right triangle, and we know from our special right triangle rules that sine 30 12.

This article has been fact-checked, ensuring the accuracy of any cited facts and confirming the authority of its sources. There are 9 references cited in this article, which can be found at the bottom of the page. For an isosceles right triangle with side lengths a, the hypotenuse has length sqrt (2)a, and the area is Aa2/2. An isosceles right triangle therefore has angles of 45 degrees, 45 degrees, and 90 degrees. Rule 2: The length of the longest side of a triangle must be less than the sum of the lengths of the other two sides of the triangle, but greater than the difference of the lengths. Rule 1: The sum of the interior angles of a triangle is 180.

Additionally, David has worked as an instructor for online videos for textbook companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. A right triangle with the two legs (and their corresponding angles) equal. Note: The triangles in the figures represent any triangle. After attaining a perfect 800 math score and a 690 English score on the SAT, David was awarded the Dickinson Scholarship from the University of Miami, where he graduated with a Bachelor’s degree in Business Administration. With over 10 years of teaching experience, David works with students of all ages and grades in various subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. David Jia is an Academic Tutor and the Founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California.

This article was co-authored by David Jia.

Isosceles right triangle rules