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Determine if the triangles are similar. ​

Determine if the triangles are similar. ​-example-1

2 Answers

6 votes

Answer:

Yes

Explanation:

  • Determine if the triangles are similar. ​

is solved with an equation between the corresponding sides

10 : 2 = 15 : 3

5 = 5

your answer is yes

User Goranek
by
6.9k points
4 votes

Answer:

yes, by SAS similarity theorem.

Explanation:

"The SAS similarity theorem stands for side angle side. When you've got two triangles and the ratio of two of their sides are the same, plus one of their angles are equal, you can prove that the two triangles are similar." - Study pug

Here, we can see that one of the angles is equal. Check!

Then, the adjacent sides of that angle can both be divided by 5 to get the corresponding sides in the other triangle. Therefore, they have the same ratio of those sides. Check!

The triangles are similar by the SAS similarity theorem.

Hope this helps!

User Vincent Sels
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7.4k points