An obtuse triangle has angle measurements of 100°, 60°, and 20°. if the longest side of this triangle is 20 feet, what is the length of its shortest side, s?

This is the concept of geometry, we are required to calculate for the length of the shortest side. The shortest side is the side opposite to the smallest angle; Therefore using sine rule we shall have:

a/sin A=b/sinB=c/sinC

let a=20 and A=100

b=x and B=20

thus the shortest side will be given by:

20/sin 100=x/sin 20

x = (20sin 20) / 100

x=6.95 feet

The answer is 6.95 feet