22.6k views
2 votes
Does a triangle with these side lengths exist?
28, 41, 13

User Warpech
by
3.2k points

2 Answers

5 votes

Answer:

No

Explanation:

it doesnt add up to 180 degrees

User Patton
by
3.6k points
5 votes

Use the triangle inequality theorem.

Add two sides together and see if it is greater than the length of the 3rd side:

28 + 41 = 69 which is greater than 13

41 + 13 = 54 which is greater than 28

28 + 13 = 41 this is equal to the 3rd side length of 41 and not greater than 41

Because 28 + 13 is not greater than 41 those 3 lengths cannot make a triangle.

User Linguist
by
3.6k points