Given two triangles with sides of lengths $6$, $8$, $x$ and $9$, $12$, $15$, what value of $x$ will make the triangles similar by the SSS similarity theorem?

Which of the following pairs of triangles are congruent by the Angle-Angle-Side ($AAS$) criterion according to the Law of Sines ($\frac{a}{sin}=\frac{b}{sin}=\frac{c}{sin}$)?

Which of the following pairs of triangles are congruent by the Angle-Side-Angle (ASA) criterion according to the Law of Sines?

Which of the following pairs of triangles can be proven congruent using the $\mathrm{Law} \mathrm{of} \mathrm{Sines}$?

Which of the following conditions must be true for two right triangles to be congruent by the Hypotenuse-Leg ($\mathrm{HL}$) theorem?

Given triangle $GFE$, which equation can be used to find the measure of angle $GFE$ using the Law of Sines?

According to the $\text{Law of Sines}$, which set of angle measures could represent the angles of a triangle?

Given a triangle with side lengths $10$ in., $10$ in., and $10$ in., which classification best represents this triangle?

Which equation can be solved to find one of the missing side lengths in a triangle using the $Law of Sines$?