Question

Complete the inequality so that it represents the whole-number values that side a could be to create a triangle.

c=7
b=6
a=?

_<a<_

Answer 1

1)<a<13

Explanation: According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side. In this case, c=7 is the longest side, so we can set up the inequality:

a + b > c

Substituting the given values, we get:

a + 6 > 7

Simplifying the inequality, we have:

a > 1

However, since we want a whole number value for a, we can rewrite the inequality as:

1 < a < 13