Q.17. Find the complete set of values of $x$ for which there are two non-congruent triangles with the side lengths and angle as shown in the diagram.

Answer Choices

• $1 < x < 3$
• $1 < x < 4$
• $1 < x < 5$
• $3 < x < 4$
• $3 < x < 5$
• $4 < x < 5$

Solution

The correct answer is option 4: $3 < x < 4$.