7. Non-Right Triangles

Given two angle measures and the length of the included side in a triangle, how many distinct triangles can be formed?

Given a triangle with side lengths $10$ in., $12$ in., and $15$ in., which classification best describes this triangle?

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

If the major arc $JL$ measures $300°$ in circle $M$, which of the following best describes triangle $JLM$?

Which pair of triangles can be proven congruent by the $SAS$ (Side-Angle-Side) Congruence Theorem?

In triangle $FGH$, points $J$ and $K$ are the midpoints of sides $FG$ and $GH$, respectively. If $FH$ has length $10$ and the segment $JK$ is parallel to $FH$, what is the length of $y$, where $y$ is the length of $JK$?

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?

Given that ray $BE$ bisects $\angle ABC$, and $\angle ABE=2x+7°$ and $\angle CBE=5x-8°$, what is the measure of $\angle ABC$?

In triangle $rst$, $r$ = $58$ cm, $\angle s$ = $48°$ and $\angle t$ = $29°$. Find the length of side $s$, to the nearest centimeter.

In triangle $\mathrm{ABC}$, if angle $A$ measures $100°$ and angle $B$ measures $20°$, what is the measure of arc $\mathrm{BC}$ (the angle at vertex $C$)?

In triangle $ABC$, side $a$ is $7$, side $b$ is $10$, and angle $A$ is $30°$. Angle $B$ is $45°$. Using the Law of Sines, find the length of side $c$. If necessary, write your answer in simplest radical form.

Given that triangle $ABC$ is similar to triangle $AXY$ with a ratio of similarity $3:2$, and that $bc=24$ in triangle $ABC$, what is the length of the corresponding side $xy$ in triangle $AXY$?

Which equation correctly expresses the Law of Sines for a triangle with sides $a$, $b$, $c$ opposite angles $A$, $B$, and $C$?

Which of the following correctly states the Law of Sines for a triangle with sides $a$, $b$, $c$ opposite angles $A$, $B$, $C$, specifically relating a single pair of side and opposite angle?

Given that triangle $ABC$ is similar to triangle $DEF$, which of the following correctly expresses the Law of Sines for these triangles?