SOLUTION: Which numbers could represent the lengths if the sides of the sides if an isosceles triangle? 1,1,3 6,6,5 15,5,10 3,4,5

Algebra ->  Triangles -> SOLUTION: Which numbers could represent the lengths if the sides of the sides if an isosceles triangle? 1,1,3 6,6,5 15,5,10 3,4,5      Log On


   



Question 831666: Which numbers could represent the lengths if the sides of the sides if an isosceles triangle?
1,1,3
6,6,5
15,5,10
3,4,5

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
For isosceles, reject choices #3 and #4 immediately, since you must have two sides equal. Examine choices #1 and #2 using the Triangle Inequality Theorem.

#1:
1+1<3;
1+3>1.
Trying to connect 1 unit lengths on both endpoints of a segment of 3 unit length, and then moving the unconnected endpoints of the two 1 unit segments, will not connect.

#2:
6+6>5;
5+6>6.
THIS ONE!!!