LearaJ180425 LearaJ180425
  • 03-11-2022
  • Mathematics
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How many triangles exist that fit the following criteria?A = 125°, a = 3, b = 4

How many triangles exist that fit the following criteriaA 125 a 3 b 4 class=

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MikaG674278 MikaG674278
  • 03-11-2022

According to the given criteria, there is not any triangle that can fit it.

This is because A, which is an obtuse angle, is the opposite angle to a. A triangle can only have one obtuse angle, and it is opposite to the largest side of the triangle.

a is not the largest side, we know it because b is greater than a, it means that there is no way that A is 125° and a which is the opposite side to this obtuse angle is not the largest side.

It means that the answer is zero.

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