7. Non-Right Triangles

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?

According to the Law of Sines, which triangle below correctly demonstrates that the side opposite the larger angle is the larger side?