Answer:
1.3< x < 6.7
Step-by-step explanation:
we know that
The Triangle Inequality Theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
Let
x----> the measure of the third side of triangle
Applying the triangle Inequality Theorem
1) 4.0+2.7 > x
6.7 > x
rewrite
x< 6.7 units
2) x+2.7 > 4.0
x> 4.0-2.7
x> 1.3 units
therefore
The range of possible sizes for side x is the interval-----> (1.3,6.7)
1.3< x < 6.7
