Question

lauren is designing a metal sculpture that contains a triangle with sides of 4 inches and 11 inches. She is trying to determine possible lengths of the third side of her design. Determine an inequality that shows all possible values, in thes for the length of the third side of the triangle in Laurens sculpture. A) 7

Answer 1

Answer:

$7 < x$

Step-by-step explanation:

Let

x ----> the length of the third side of triangle in Lauren's sculpture

we know that

The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side

Applying the Triangle inequality Theorem

1) $4+11 > x$

$15 > x$

Rewrite

$x< 15\ in$

2) $4+x > 11$

$x> 11-4\\x> 7\ in$

therefore

The possible values of x are

$7\ in < x$