Which set of three segments can form a triangle?
a- 15,22,6
b- 11,19,8
c. 17,9,10
d- 16,20,4

Question

calculusxy · Answer

It can be right, acute, or obtuse I believe. These are the types of angles that a triangle has.

marissalovescats · Answer

Well there are 180 degrees in a triangle so what does that tell you? :P

calculusxy · Answer

You have to add up all the angles towards a triangle to get the measurements of the segments.

calculusxy · Answer

So all triangles add up to 180 even it is equilateral, isosceles, or scalene.

calculusxy · Answer

@alyssagonzalezzz1 Do you get it?

anonymous · Answer

no

directrix · Answer

By the Triangle Inequality Theorem, one side of a triangle is less than the sum of the lengths of the other two sides but greater than the positive difference of those sides.

directrix · Answer

So, test option A:  15,22,6

15<? 22 + 6  Yes
22 <? 15 + 6  No because 22 is not less than 21.

These three lengths cannot form the sides of a triangle.

Go to option B and check it.

directrix · Answer

@alyssagonzalezzz1  What did you get as the answer?