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40 votes
40 votes
Are the triangles similar?

Are the triangles similar?-example-1
User Bolav
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2 Answers

24 votes
24 votes
No because The side lengths are the same
User David Burg
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3.2k points
21 votes
21 votes

Answer:

No, because the sides lengths are not proportional.

Explanation:

What is the SAS similarity theorem ?

By definition, two triangles are similar if all their corresponding angles are congruent and their corresponding sides are proportional.

What is the AA similarity theorem ?

If two angles of one triangle are respectively equal to two angles of another triangle, then the two triangles are similar.

  • They both have an angle of 70°
  • This lies between sides of 6/9 and 9/18 respectively for the triangles
  • 6/9 = 2/3 and 9/18 = 1/2
  • Hence, the sides are not proportional
  • They are not similar
User Jtzero
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2.7k points