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

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

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,

the answer is c.

step-by-step explanation: