Question

Select ALL the sets of three sides that will make a triangle.

A. 2,3,4
B. 2,3,5
C. 2,3,6
D 3,4,5
E. 3,4,8

Answer 1

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Answer:

A. 2,3,4

D 3,4,5

Explanation:

In order for segment lengths to be able to form a triangle, the sum of the shortest two must exceed the longest.

A. 2,3,4 . . . 2 + 3 > 4 . . . can make a triangle

B. 2,3,5 . . . 2 + 3 = 5 . . . not a triangle

C. 2,3,6 . . . 2 + 3 < 6 . . . not a triangle

D 3,4,5 . . . 3 + 4 > b . . . can make a (right) triangle

E. 3,4,8 . . . 3 + 4 < 8 . . . not a triangle