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Home > CCG > Chapter 6 > Lesson 6.1.2 > Problem 6-15

6-15.

Examine the triangles below. For each one, solve for and name which tool you used. Show all work.

  1. A triangle with legs, 6, and, X. The angle opposite side, 6, is 58 degrees.

    Which trigonometric ratio can you use to solve for ?

  1. A right triangle with both legs, a length of 7. The hypotenuse has a length of X.

    What do the tick marks on the sides of the triangle mean?
    How can you use that knowledge to solve for ?

    Because of the marks, the lengths of the sides are the same.

    Since this is a Right Isosceles triangle, use the Pythagorean Theorem.

  1. A triangle with side lengths 15 on left side, X on bottom side, and 18 on right side. The angle opposite side, x, is 32 degrees.

    Use the Law of Cosines to solve for .