#### Quantity A

The area of an equilateral triangle with a side length of 4

#### Quantity B

$The area of an isosceles right triangle with a hypotenuse of 4\sqrt{4}$

Towns A, B, and C lie in a plane but do not lie on a straight line. The distance between Towns A and B is 40 miles, and the distance between Towns A and C is 110 miles.

#### Quantity A

The distance between Towns B and C

#### Quantity B

60 miles

Point A is both in the interior of triangle B and on line C. If A, B, and C are in the same plane, in how many places does line C intersect triangle B?
A photographer is using a bipod to steady his camera while taking pictures, as shown in the figure above. The legs of the bipod are 5 feet long and are currently 6 feet apart. If he pulls the legs another 2 feet apart, the top of the bipod drops x feet.

1

#### Quantity B

x If triangle ABC is equilateral and side AB has a length of s, then what is the area of triangle ABC in terms of s?
In the figure above, equilateral triangle OPQ is inscribed in the central angle of the circle and has perimeter 18. What is the area of circle O? #### Quantity A

$The length of the side of a square with diagonal\sqrt{50}$

#### Quantity B

The height of an equilateral triangle with side 6

In a triangle, one angle is twice as large as the smallest angle, and another angle is three times as large as the smallest angle. What is the measure of the largest angle?
The area of △JKL is 65.

KL

#### Quantity B

LM Given four rods of length 1 meter, 3 meters, 5 meters, and 7 meters, how many different triangles can be made using one rod for each side?
How much greater, in square inches, is the area of a square with a diagonal of 8 inches than the area of a square with a diagonal of 4 inches?
In the rectangle above, a – b > b – a.

#### Quantity A

$z^{2}-2x^{2}$

#### Quantity B

0 The image of a star is projected onto a planetarium wall by a projector that sits atop a vertical 4-foot stand. If the projector is directed 30 degrees above the horizontal, and the image appears 16 feet above the level floor of the planetarium, then, in feet, how far is the projector from the wall?
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.

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