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Special Right Triangles quiz

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  • What is the shortcut for finding the hypotenuse in a 45-45-90 triangle if you know the length of one leg?
    Multiply the length of one leg by the square root of 2 to get the hypotenuse.
  • In a 45-45-90 triangle, if the hypotenuse is given, how do you find the length of one leg?
    Divide the hypotenuse by the square root of 2, then rationalize the denominator if needed.
  • What are the sine and cosine values for a 45-degree angle in a 45-45-90 triangle?
    Both sine and cosine are equal to the square root of 2 divided by 2.
  • What is the value of the tangent of a 45-degree angle in a 45-45-90 triangle?
    The tangent is 1.
  • What are the values of the cosecant and secant for a 45-degree angle in a 45-45-90 triangle?
    Both cosecant and secant are equal to the square root of 2.
  • What is the value of the cotangent of a 45-degree angle in a 45-45-90 triangle?
    The cotangent is 1.
  • In a 30-60-90 triangle, how do you find the hypotenuse if you know the short leg?
    Multiply the short leg by 2 to get the hypotenuse.
  • How do you find the long leg in a 30-60-90 triangle if you know the short leg?
    Multiply the short leg by the square root of 3 to get the long leg.
  • If the hypotenuse of a 30-60-90 triangle is 8, what is the length of the short leg?
    The short leg is 4, since 8 divided by 2 equals 4.
  • What is the sine of 30 degrees in a 30-60-90 triangle?
    The sine of 30 degrees is 1/2.
  • What is the cosine of 30 degrees in a 30-60-90 triangle?
    The cosine of 30 degrees is the square root of 3 divided by 2.
  • What is the tangent of 30 degrees in a 30-60-90 triangle?
    The tangent of 30 degrees is the square root of 3 divided by 3.
  • What is the sine of 60 degrees in a 30-60-90 triangle?
    The sine of 60 degrees is the square root of 3 divided by 2.
  • What is the cosine of 60 degrees in a 30-60-90 triangle?
    The cosine of 60 degrees is 1/2.
  • What pattern do the sine and cosine values show between the 30 and 60 degree angles in a 30-60-90 triangle?
    The sine and cosine values switch places between the 30 and 60 degree angles.