111204
AssignmentMultiple Choice

Triangles and Their Side Lengths

Question 111204 • AZ-Geometry A (MA201)

Gemma wants to draw a triangle with side lengths of 4 inches, 12 inches, and 17 inches. Which statement is true?

Answer
A
This triangle exists because the sum of any two side lengths is greater than the length of the third side.
B
This triangle exists because the sum of 4 and 12 is less than 17.
C
This triangle does not exist because the sum of any two side lengths is greater than the length of the third side.
D
This triangle does not exist because the sum of 4 and 12 is less than 17.

Explanation

For three lengths to form a triangle, the sum of the two shorter sides must be greater than the longest side. Here, 4 + 12 = 16, which is less than 17, so these lengths cannot form a triangle. The true statement is that the triangle does not exist because 4 and 12 add to less than 17.

AI-written and checked against the verified answer.

Previous
Next