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Home > PC3 > Chapter 2 > Lesson 2.2.3 > Problem 2-84

2-84.

Calculate the exact length of each side of the triangles. Write your answers in simplified radical form. 

Right triangle: hypotenuse labeled, x times the square root of 2, vertical & horizontal legs, each labeled x, angles opposite vertical & horizontal legs, each labeled 45 degrees. Right triangle: hypotenuse labeled 2, x, vertical leg labeled, x, horizontal leg labeled, x times the square root of 3, angle opposite vertical leg, labeled 30 degrees, angle opposite horizontal leg, labeled 60 degrees. .

  1. Right triangle labeled as follows: vertical leg, 4, angle opposite vertical leg, 45 degrees.

     

  1. Right triangle labeled as follows: hypotenuse, 6, angle opposite vertical leg, 45 degrees.

     

  1. Right triangle labeled as follows: vertical leg, 2, angle opposite vertical leg, 30 degrees.