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SPECIAL RIGHT TRIANGLES

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A special right triangle is a right triangle with some features that make calculations on the triangle easier. WHAT ARE SPECIAL RIGHT TRIANGLES?

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45-45-90 30-60-90 TYPES OF SPECIAL RIGHT TRIANGLES

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It has legs that are equal length. The hypotenuse is always the longest side and is opposite the right angle. The length of the hypotenuse equals leg length√2. The length of one leg of a 45-45-90 triangle equals hypotenuse/√2. The formula for finding area equals ½(leg)2. Also known as an isosceles right triangle. Ratio equals 1:1:√2. Two 45-45-90 triangles create a square. PROPERTIES OF 45-45-90

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A 30-60-90 triangle has angle measures of 30 degrees, 60 degrees, and 90 degrees. Ratio equals 1:sqrt(3):2. The short leg is always opposite the 30 degree angle. The hypotenuse is twice as long as the shorter leg. The longer leg is the square root of 3 times the shorter leg. Formed by when an altitude is drawn from a vertex of an equilateral triangle, forming two congruent right triangles. PROPERTIES OF 30-60-90

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http://www.mathwarehouse.com/geometry/triangles/ri ght-triangles/special-right-triangles.php http://www.mathwarehouse.com/geometry/triangles/ri ght-triangles/special-right-triangles.php http://www.gradeamathhelp.com/45-45-90- triangle.html http://www.gradeamathhelp.com/45-45-90- triangle.html http://www.moomoomath.com/30-60-90- Triangles.html http://www.moomoomath.com/30-60-90- Triangles.html REFERENCES

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