Two angles of a triangle each measure 55°. The side opposite one of the 55° angles is 2 meters long.

Question

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Answer 1

55 and 55 means the 3rd angle is 180-110 = 70 degrees

side opposite one 55 is 2 meters so is the side opposite the other 55 degree angle

2 sides are 2 meters each

3rd side opposite 70 is longer than 2 meters

use the law of sines

x/sin70 = 2/sin55

x = 2sin70/sin55 =about 2.29 meters= the 3rd side