The special right triangle formulas can also be used to find the values of trigonometric functions like sine, cosine, and tangent. Similarly, if the shortest side of a 45-45-90 triangle is 5 units, then the hypotenuse is 5√2 units and the other side is also 5 units. For example, if the hypotenuse of a 30-60-90 triangle is 6 units, then the shortest side is 3 units and the other side is 3√3 units. These ratios can be used to find the length of any side of the special right triangles if the length of one side is known. Similarly, if the hypotenuse is √2 units, then the shortest side is 1 unit and the other side is also 1 unit. This means that if the shortest side (the side opposite one of the 45-degree angles) is 1 unit, then the hypotenuse (the longest side) is √2 units and the other side (the side opposite the other 45-degree angle) is also 1 unit. The ratio of the sides of this triangle is 1:1:√2. It is also known as the 45-45-90 triangle. The second special right triangle has angles of 45 degrees, 45 degrees, and 90 degrees. Similarly, if the hypotenuse is 2 units, then the shortest side is 1 unit and the other side is √3 units. This means that if the shortest side (the side opposite the 30-degree angle) is 1 unit, then the hypotenuse (the longest side) is 2 units and the other side (the side opposite the 60-degree angle) is √3 units. The ratio of the sides of this triangle is 1:√3:2. It is also known as the 30-60-90 triangle. The first special right triangle has angles of 30 degrees, 60 degrees, and 90 degrees. These triangles have unique properties that make them useful in geometry and trigonometry, and their sides can be calculated using special formulas. A special right triangle is a right triangle that has angles measuring 30 degrees, 60 degrees, and 90 degrees or angles measuring 45 degrees, 45 degrees, and 90 degrees.
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