the longest side of a triangle measure 267m.If two angles 37 and 48 what is the shortest side and it angle

Answer 1

Since the angles sum to 180, the 3rd angle is 95°
By the law of sines, the shortest side is opposite the shortest angle (37°)
So, the side length can be found using
x/sin37° = 267/sin95°
Now just crank it out.

Answer 2

the lengths of the sides of a triangle
... are in proportion to the sines of the angles opposite to the sides

the 3rd angle in the given triangle is ... 180º - (37º + 48º) = 95º

267 m / sin(95º) = s / sin(37º)

Answer 3

251.46