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

In Exercises 39–40, find h to the nearest tenth.

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In triangle $ABC$, angle $A$ is $30°$, angle $B$ is $45°$, and side $a$ (opposite angle $A$) is $10$ units. Using the Law of Sines, what is the approximate value of side $b$ (opposite angle $B$)?

Which of the following pairs of triangles can be proven congruent using the $\mathrm{SAS}$ (Side-Angle-Side) criterion rather than the Law of Sines?

Given two triangles with corresponding angles and side lengths related by the $Law of Sines$, which of the following pairs of triangles can be mapped onto each other using a single translation?

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 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?