Let us assume the other two angles are x each, then as per angle sum property of a triangle: 90 + x+ x 180 Solving for x, x 45 Therefore, the angle measures of an isosceles right triangle are 90, 45 and 45 respectively. In our case, one leg is a base, and the other is the height, as there is a right angle between them. So, for an isosceles right triangle one angle is 90 degrees and the other two angles are congruent. To find the area of the triangle, use the basic triangle area formula, which is area = base × height / 2. For this special angle of 45°, both of them are equal to √2/2. The missing angle must, therefore, be 60. Therefore, in an isosceles right triangle, two legs and two acute angles are congruent. We were told that this is a right triangle, and we know from our special right triangle rules that sine 30 12. The missing angle must, therefore, be 60 degrees, which makes this a 30-60-90 triangle. We were told that this is a right triangle, and we know from our special right triangle rules that sine 30 12. ![]() ![]() Since the two legs have equal lengths, the corresponding angles will be congruent (the same measure). Because you know your 30-60-90 rules, you can solve this problem without the need for either the pythagorean theorem or a calculator. If you know trigonometry, you could use the properties of sine and cosine. An isosceles right triangle is a 90-degree angle triangle consisting of two legs with equal lengths. In our case, this diagonal is equal to the hypotenuse. As you probably remember, the diagonal of the square is equal to side times square root of 2, that is a√2.the formula to find the length of the hypotenuse of a right. ![]()
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