Question

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?

Answer 1

6.9

Explanation:

Answer 2

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