Asked by Kelvin
the longest side of a triangle measure 267m.If two angles 37 and 48 what is the shortest side and it angle
Answers
Answered by
oobleck
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.
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.
Answered by
R_scott
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)
... 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)
Answered by
Childers❤️
251.46