Geometry question? easy 10 points?

Question

The base of an isosceles triangle is 15 inches. What is the smallest possible integer length for each leg?

Answer 1

8+8=16

        16 > 15

so each leg can be 8 in.

you use the triangle inequality theorem

Answer 2

In any triangle, the sum of two sides must be greater than the third.  Because it is isosceles, the legs must be the same lenght so: x + x > 15 --> 2x > 15, so divide both sides by 2, and x > 7.5.  therefore the smallest possible integer length for each leg is 8.

Answer 3

Isosceles triangle= 2 sides same length

The length of one side of a triangle cannot be greater than the sum of the lengths of the other sides.

In short, x< y+z. X being any one side, y and z being the others.

Let x= length of one side (not base)

15< 2x

7.5< x ---Divide both sides by 2.

x> 7.5 ---Reflexive Property

Since it says integer, the answer is 8 because 7.5 is rounded to 8.

Answer 4

8, I would think.  It will have to be at least a little longer than half of the base.