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

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SPECIAL RIGHT TRIANGLES

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

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

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

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

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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