Question

Use the image to answer the question.

A triangle has a base labeled x and the right edge labeled 7. Two congruent tick marks are shown on the left and the right edges.

Find the range of values for the third side of the triangle, x, based on the diagram.

(1 point)

<x<

Answer 1

0 < x < 14

Reason: with sides 7, 7, and x the triangle inequalities give 7 + 7 > x ⇒ x < 14 and 7 + x > 7 ⇒ x > 0.