Question

Place a check mark in the box next to each

set of lengths that could be the sides of a
triangle. Select all that apply
 A. 3 feet, 4 feet, and 5 feet
 B. 1 meter, 7 meters, and 10 meters
 C. 1.5 inches, 1.5 inches, and 2.5
inches
 D. 7 centimeters, 7 centimeters, and
7 centimeters
 E. 6 miles, 6 miles, and 12 miles

Answer 1

The Triangle Inequality Theorem states that the sum of two sides of a triangle must be greater than the remaining side.
If that is true for all three combinations, then your triangle is a triangle.

A. 3+4 is bigger than 5
3+5 is bigger than 4
4+5 is bigger than 3
B. 1+7 is NOT bigger than 10. 1+7 is smaller than 10.
C. 1.5+1.5 is bigger than 2.5
2.5+1.5 is bigger than 1.5
D. 7+7 is bigger than 7
E. 6+6 is NOT bigger than 7. 6+6 is equal to 7.

A, C, and D are valid triangles.