A triangle has sides measuring $20$, $26$ and $26$ units. What is its area?

An arc of length $42.0$ m lies on a circle of radius $14$ m. What is the measure of the central angle, in radians?

Use right triangle $ABC$. What is $\cos A$?

In triangle $UVW$, angle $U$ measures 50 degrees, the side opposite it measures $24$, and the side opposite angle $V$ measures $12$. How many triangles fit these measurements?

A central angle measuring $0.5$ radians cuts off an arc of length $6.0$ cm. What is the radius of the circle?

In triangle $ABC$ the measurements given are two sides and the angle between them. Which relation do those parts support, and why?

Use right triangle $UVW$. What is $\cos U$?

In triangle $KLM$ the sides opposite angles $K$ and $M$ are known, along with angle $L$, which lies between them. Which equation gives the remaining side?

Use right triangle $ABC$. Which value is closest to the length of $BC$?

A triangular plot of land has sides measuring $35$ m, $55$ m and $81$ m. Which value is closest to the measure of its largest angle?

Two rangers stand $640$ m apart along a straight fire road. From the line joining them, the angle to the smoke plume is 49 degrees at the first and 37 degrees at the second. Which is closest to the distance from the first to the smoke plume?

In triangle $RST$, angle $R$ measures 35 degrees, the side opposite it measures $8$, and the side opposite angle $S$ measures $12$. How many triangles fit these measurements?

Use triangle $KLM$. Which value is closest to the length of $LM$?

In triangle $ABC$ the measurements given are two angles and a side not between them. Which relation do those parts support, and why?

A triangle has two sides measuring $19$ m and $11$ m, and the angle between them measures 95 degrees. Which value is closest to the area of the triangle?

In triangle $DEF$ the measurements given are two sides and an angle opposite one of them. Which relation do those parts support, and why?

A triangle has sides measuring $10$, $10$ and $16$ units. What is its area?

Two surveyors stand $640$ m apart on a straight fence line. From the line joining them, the angle to the boundary marker is 53 degrees at the first and 58 degrees at the second. Which is closest to the distance from the first to the boundary marker?

For an acute angle $\theta$ in a right triangle, $\tan \theta =\frac{7}{24}$. What is $\cos \theta$?

A triangle has sides measuring $17$, $17$ and $30$ units. What is its area?

Use triangle $UVW$. Which value is closest to the length of $UW$?

Use right triangle $JKL$. What is $\csc K$?

From a point on the ground $52$ ft from the base of a chimney, the angle of elevation to its top is 60 degrees. Which value is closest to its height?

In triangle $PQR$ the measurements given are three sides. Which relation do those parts support, and why?

Use triangle $KLM$. Which value is closest to the length of $KM$?

A circle has radius $6$ ft and a central angle measuring $\frac{5\pi }{3}$ radians. What is the exact length of the arc that angle cuts off?

In triangle $RST$, angle $R$ measures 48 degrees, the side opposite it measures $17$, and the side opposite angle $S$ measures $20$. Taking the solution in which angle $S$ is obtuse and measures about 119.0 degrees, which value is closest to the side opposite angle $T$?

Use triangle $UVW$. Which value is closest to the length of $VW$?

In triangle $PQR$, angle $P$ measures 46 degrees, the side opposite it measures $12$, and the side opposite angle $Q$ measures $16$. Taking the solution in which angle $Q$ is obtuse and measures about 106.4 degrees, which value is closest to the side opposite angle $R$?

In triangle $UVW$, the side opposite angle $U$ measures $5$, the side opposite angle $V$ measures $10$, and the side opposite angle $W$ measures $13$. What does applying the Law of Cosines show about this triangle?

Two straight roads leave a junction at an angle measuring 112 degrees. A car drives $8$ km along one and a truck drives $13$ km along the other. Which value is closest to the straight-line distance between them?

In triangle $KLM$, two unequal sides $k$ and $m$ and the angle $L$ between them are known, and the Law of Cosines has given side $l$. Which angle can the Law of Sines find next with no risk of mistaking an obtuse angle for an acute one?

Use triangle $DEF$. Which value is closest to the length of $DF$?

In triangle $DEF$, all three sides $d$, $e$ and $f$ are known. Which equation gives $\cos E$?

Use right triangle $RST$. What is $\sin S$?

In triangle $DEF$ the measurements given are two angles and the side between them. Which relation do those parts support, and why?

In triangle $PQR$, angles $P$ and $Q$ and the side $PQ$ between them are known, and $P+Q<180^{\circ }$. How many triangles fit these measurements?

A circle has radius $12$ cm and a central angle measuring $\frac{\pi }{2}$ radians. What is the exact area of the sector?

A triangle has two sides measuring $17$ cm and $17$ cm, and the angle between them measures 36 degrees. Which value is closest to the area of the triangle?

In triangle $KLM$, angle $K$ measures 75 degrees, the side opposite it measures $20$, and the side opposite angle $L$ measures $15$. The height from $M$ to line $KL$ is $h=15\sin K$. What is $h$, and how many triangles fit?