Question

This is due soon! 40 points and i'll mark you as brainliest!! Also explain how you got the answer

Answer 1

9514 1404 393

Answer:

  B, D

Step-by-step explanation:

Add the two shortest side lengths. For a triangle, the sum must exceed the longest side length.

a.  2.3 +3.7 = 6.0 > 5.1 . . . is a triangle

b.  3 + 11 = 14 < 18 . . . not a triangle

c.  7 + 9 = 16 > 15 . . . is a triangle

d.  8 + 8 = 16 = 16 . . . a "triangle" with 0 area, usually considered not a triangle

_____

Additional comment

The triangle inequality is written different ways by different authors. They disagree whether the "equal to" case should be considered to be a triangle. That, you might have either of ...

• a + b > c . . . . . used here
• a + b ≥ c

As we have said for the last selection, if the "triangle" is made of line segments that just touch end-to-end, it will have zero area, and will look like a straight line segment of the same length as the longest side. Many authors do not consider this to be a triangle.