![]() ![]() In our case, one leg is a base, and the other is the height, as there is a right angle between them. To find the area of the triangle, use the basic triangle area formula, which is area = base × height / 2. Last, we calculate the area with the formula: 1/2 × base × height. ![]() Thus, the hypotenuse measures h, then the Pythagorean theorem for isosceles right triangle would be: (Hypotenuse) 2 (Side) 2 + (Side) 2. Then we use the theorem to find the height. Therefore, they are of the same length l. ![]() Once we recognize the triangle as isosceles, we divide it into congruent right triangles. For this special angle of 45°, both of them are equal to √2/2. We can find the area of an isosceles triangle using the Pythagorean theorem. h c runs exactly in the middle between the two sides of equal length. Since a b and, b and have been replaced by a and in the following figure. If you know trigonometry, you could use the properties of sine and cosine. If you draw the altitude h c in the above isosceles triangle, then the isosceles triangle is divided into 2 right triangles, which have the same side lengths and the same angles. In our case, this diagonal is equal to the hypotenuse. So if a a and b b are the lengths of the legs, and c c is the length of the hypotenuse, then a2+b2c2 a2 +b2 c2. We know that in an isosceles right triangle, two sides are of equal length. The Pythagorean theorem states that if a triangle has one right angle, then the square of the longest side, called the hypotenuse, is equal to the sum of the squares of the lengths of the two shorter sides, called the legs.
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