Trigonometric Functions: Quiz

Problem 4

Given lengths a and b, legs of a right triangle, find the hypotenuse c.

  1. a = 1, b = 3
  2. a = 2, b = 2
  3. a = 17, b = 20

Answers, problem 4

By the Pythagorean formula, hypotenuse = (a2 + b2)1/2, therefore:

  1. a = 1, b = 3, c = (12 + 32)1/2 = 3.16227766
  2. a = 2, b = 2, c = (22 + 22)1/2 = 2.82842712
  3. a = 17, b = 20, c = (172 + 202)1/2 = 26.2488095

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