a triangle with no congruent sides

a triangle with two congruent sides

a triangle with three congruent sides

a triangle with exactly one angle greater than 90 degrees

a triangle with three angles less than 90 degrees

a triangle with exactly one angle equal to 90 degrees

Which correctly describes the Triangle Inequality Theorem?

Order the sides from longest to shortest.

John travels between three different cities for his job:  Honaker, Bristol, and Danville. The most direct route to each city is the one on the diagram. 

Which route is the longest?

First, find the missing angle: 180 - (52+63) = 65

52 degrees is the smallest angle, which is across from the shortest side of a triangle. The shortest route is between Danville and Bristol

65 degrees is the largest angle, which is across from the longest side of a triangle. The longest route is between Honaker and Bristol

Place the sides of triangle SIR in ascending order.

ascending....shortest to longest

1st: find the missing angles in triangle SIR

180-108-25=47

Therefore, angle SIR is the smallest angle and side SR would be the shortest side

and angle IRS is the largest angle and side SI would be the longest side