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In the figure shown, what is the length of line segment BD?


In the figure, AC=15 and BC=12. If f+g=90, then the area of the triangular region is ?
There is a triangle whose three sides are 4, 8, $$4\sqrt{5}$$.

Quantity A:The area of the triangle

Quantity B:16


In the sequence $$a_1$$, $$a_2$$, $$a_3$$,......., the $$n^{th}$$ term an is the distance in the xy-plane between (0, 1) and (n, 0) for each positive integer n. The figure shows the first four terms of the sequence.

Quantity A

$$a_{20}$$

Quantity B

$$\sqrt{401}$$




What is the length of the hypotenuse of the leftest right triangle?


Quantity A:RS

Quantity B:3


All angles in the figure above are right angles. What is the straight-line distance from point P to point Q?


What is the length of the unknown side of the quadrilateral?


Quantity A

The area of the figure above

Quantity B

48




What is the length of AD?


In the figure above, if square ABCD has a perimeter of 24, then x=?


ED=5, DB=3, BC=2DE, DE∥BC. What is the area of the triangle ABC?


Two right triangles are combined as shown above to form a hexagon.

What is the perimeter of the hexagon?


The figure shows the positions of two satellites, B and C. above the surface of Earth at a certain time. The arc is part of a circle centered at O. which represents the center of Earth. The radius of Earth is approximately 3,960 miles. Satellite B is 150 miles above the surface of Earth. Satellite C is 300 miles from satellite B so that a right triangle with vertices at B. C. and O is formed. What is the best estimate of the distance. in miles, from satellite C to the surface of Earth?

Give your answer to the nearest whole integer.


Square DEFG is inscribed in isosceles right triangle ABC. If the area of triangular region ABC is r, what is the area of triangular region AFE?


三脚架与地面成正三角形,且横轴与地面距离1.5m

如果想让横轴与地面距离加高到3m,请问三脚架每边需要加长几米?
Triangular region T has sides of lengths 13, 13 and 10.

Quantity A

The area of region T

Quantity B

65




x = 2y; z = $$\frac{x}{2}$$; it is known that AC = 6, the area of the triangle is ?


Quantity A

Twice the length of segment QS

Quantity B

The length of segment PR




A square x is inscribed in right triangle ABC as shown above.

Quantity A

The length of list AD

Quantity B

The length of list CD


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