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Home > GC > Chapter 3 > Lesson 3.2.4 > Problem 3-80

3-80.

Determine which of the following pairs of triangles are similar. Explain your work.  

  1. Two triangles. First triangle has angles 60 and 40 degrees with the side opposite the 60 degree angle having a length of 4, second triangle has the angles 60 and 85 degrees with the side opposite the 85 degree angle having a length of 6.

    Find the missing angle measure for each triangle to see if applies.

    The triangles are not similar because they have different angle measures.

  1. Find the missing angle measure for each triangle to see if applies.

  • Write a ratio for each pair of sides. If the triangles are similar, all three ratios should be equal.

    Is this true?