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Geometry

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30-60-90 degree triangles

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30-60-90 Right Triangle A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:1sqrt(3):2. That is to say, the hypotenuse is twice as long as the shorter leg, and the longer leg is the square root of 3 times the shorter leg. You might also remember it as "X, 2X, and X roots of 3", which is how I remember it, but then you have to remember that 2X is actually the longest side, not X roots of 3.

geometry formulas

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Rectangle: rectangle-image Perimeter = l + l + w + w = 2 × l + 2 × w Area = l × w Square: square-image Perimeter = s + s + s + s = 4 × s Area = s2 Parallelogram: parallelogram-image Perimeter = a + a + b + b = 2 × a + 2 × b Area = b × h Rhombus: Rhombus-image Perimeter = b + b + b + b = 4 × b Area = b × h Triangle: Triangle-image Perimeter = a + b + c Area = (b × h)/2 Trapezoid: Trapezoid-image Perimeter = a + b + c + d Trapezoid-formula-image Circle: Circle-image Perimeter = 2 × pi × r or Perimeter = pi × d Area = pi × r2 or Area = (pi × d2)/4

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