What is the area of the shaded region in the figure above, in terms of a, b, and c?

A boat travels due east for 3 kilometers, makes a right turn and heads due south for 12 kilometers, and finally makes a left turn and travels due east again for 6 more kilometers. What is the distance between the boat`s starting and ending locations?_____

In triangle ABD pictured above, AC = 4 and is perpendicular to BD, which is equal to 125% the length of AC. What is the area of triangle ABD?_____

If BC is 3, CD is 5, and AE is 8, what is DE?

△ABC above is an isosceles triangle in which AB = AC. What is the area of △ABC?

A triangle has sides measuring 7 cm and 12 cm. Which of the following are possible values for the perimeter of the triangle?Indicate all possible values.

In right triangle LMN, the ratio of the longest side to the shortest side is 5 to 3. If the area of LMN is between 50 and 150, which of the following could be the length of the shortest side?Indicate all possible values.

Note: Figure not drawn to scaleWhich of the following are possible side lengths of triangle CDE?Indicate all possible values.

In the figure above, BC = 8. What is the area of triangle ABC?_____

The circle above has center O and circumference 12π. If ∠POQ = 30°, what is the area of the unshaded region?_____

A parabola follows the function f(x) = $$x^2$$ – 7x + 3. Point A lies on the parabola at (2, s), and point B lies on the parabola at (6, t). What is the distance from A to B, rounded to the nearest hundredths place?_____

Floyd is planting a garden in a triangular plot. One side of the plot measures $$5\sqrt3$$, and a second side measures $$7\sqrt11$$. Which of the following are possible values for the third side of the garden?Indicate all possible values.
