Question

What’s the range of possible sizes for side x?

Answer 1

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