Find all solutions to the triangle described below. inches, inches Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.

A) in
B) in or in
C) in
D) in or in
E)no solution

Question

Find all solutions to the triangle described below.   inches,   inches ​Apply the rules regarding the use of significant digits to each angle and length after all computations are complete.
​
A) in 
B)​ in or in 
C)​ in 
D) ​ in or in 
E)no solution

Quizplus · Accepted Answer

By the Triangle Inequality Theorem, the sum of any two sides of a triangle must be greater than the third side. However, in this case, each side is exactly 11 inches, so the sum of any two sides will only equal 22 inches, which is not greater than the third side of 11 inches. Therefore, it is not possible to form a triangle with these side lengths.

Find All Solutions to the Triangle Described Below