Solving Multl-Step Equations (continued)

Veronica made a triangle by taking an 8 \(1/2 \times; 11\) sheet of paper and putting a dot at the top. She then drew lines from the bottom corners to the dot and cut along the lines (see diagram). [Triangles] What is the area of the triangle that Veronica cut out?

An arc is 6.5 cm long and it subtends a central angle of \(45^{\circ}\). Find the radius of the circle.

The terminal side of an angle \(\theta\) in standard position intersects the unit circle at \(\displaystyle{\left(\frac{{5}}{{13}},\frac{{12}}{{13}}\right)}\). What is \(\sin (\theta)\)? Write your answer in simplified, rationalized form.

If the hypotenuse of a \(45^{\circ}-45^{\circ}-90^{\circ}\) triangle has a length of \(\displaystyle\sqrt{2}\), how long are the legs?

\(\tan 28^{\circ} = \cot ?\)