7. Non-Right Triangles

Which of the following expressions represents an exterior angle of triangle $XYZ$?

In triangle $△\mathrm{klm}$, side $m$ has length $63$ inches, angle $\angle k$ is $24°$, and angle $\angle l$ is $42°$. Find the length of side $l$ to the nearest inch.

Given a triangle with sides of lengths $a$, $b$, and $c$, which formula correctly gives the perimeter of the triangle?

In triangle $DEF$, side $d$ = $8$, side $e$ = $12$, and angle $D$ = $40°$. Using the Law of Sines, what is the approximate measure of angle $F$?

In triangle $△\mathrm{klm}$, $l=210$ inches, $\angle k=116°$, and $\angle l=11°$. Find the length of $m$ to the nearest inch.

Which of the following correctly expresses the Law of Sines for triangle XYZ with sides $x$, $y$, $z$ opposite angles $X$, $Y$, and $Z$ respectively?

Given triangle $ABC$ with angles $A$, $B$, and $C$, which of the following triangles could ∤ be similar to triangle $ABC$?

Given triangle $△\mathrm{jkl}$, which equation could be used to find $\angle j$ using the Law of Sines?

Triangle $ABC$ has vertices $A$, $B$, and $C$. Under which transformation(s) will the length $AB$ remain equal to $A\text{'}B\text{'}$ after the transformation?

Given two triangles, $△abc$ and $△adc$, can they be proven congruent by the Side-Side-Side (SSS) criterion? Choose the best explanation.

Which of the following correctly states the Law of Sines for triangle $ABC$ with sides $a$, $b$, $c$ opposite angles $A$, $B$, $C$?

Use the law of sines to prove that each statement is true for any triangle ABC, with corresponding sides a, b, and c.

(a - b)/(a + b) = (sin A - sin B)/(sin A + sin B)

Apply the law of sines to the following: a = √5, c = 2√5, A = 30°. What is the value of sin C? What is the measure of C? Based on its angle measures, what kind of triangle is triangle ABC?

Solve each triangle ABC.

C = 79° 18', c = 39.81 mm, A = 32° 57'