题目列表

题目内容
The length of two sides of a right triangle is 5 and 10, respectively.

Quantity A

The length of the third side

Quantity B

11


In a right triangle, two of its legs are x and y.
Quantity A: x+y
Quantity B: :√(x^2+y^2)
The length of the hypotenuse of a right triangle is 4.

Quantity A

The perimeter of the triangle

Quantity B

12


Point B is to the direct north of Point A, while Point C is to the direct east of Point A. The distance between Point B and Point A is 14,and the distance between Point B and Point C is 4 more than the distance between Point A and Point C. What is the distance between Point B and Point C?
Give your answer as a fraction.

Quantity A

x

Quantity B

y+z



Δ ABC is an equilateral triangle,DE is parallel with AB. The area of Δ CDE is 1/9 of the area of Δ ABC. What is the ratio of CD to AD?
Give your answer as a fraction.

What is the (straight-line) distance between point A and point D?

In the △ABC, AE= $$\frac{1}{3}$$AC, AD=$$\frac{1}{3}$$ AB, BF=$$\frac{1}{3}$$ BC, what is the ratio of the area of the shaded region to the area of △ABC?
Give your answer as afraction.

AB=AC=4, DE∥BC, ∠A=90 and the area of quadrilateral DECB is 4.

Quantity A

AE

Quantity B

EC



The figure above is a parallelogram, AB=BC=CD=DA, and ∠A=60°

Quantity A

The ratio of AC to BD

Quantity B

$$\sqrt{3}$$



The quadrilateral ABCD shown above is a parallelogram. BD=8,AC=10

Quantity A

AB

Quantity B

BC


How many pieces can we get at most if a square is split by three lines?
A triangle and a square have n intersection points, which of the following CANNOT be the value of n?
What is the ratio of the area of a square region with diagonal 10 to the area of a square region with diagonal 20?
Give your answer as a fraction.

The side of square ABCD is 3. If each of the four sides is a hypotenuse of an isosceles right triangle, then what is the sum of the area of the four isosceles right triangles?
In a certain scale drawing of a rectangular garden, 1 inch represents 3 feet. The scale drawing of the garden has an area of 6 square inches.

Quantity A

The total area of the garden

Quantity B

50 square feet


A rectangular floor will be completely covered with square tiles, each of which has sides of length 6 inches. If tiles are laid side by side with no space between them and no tiles are cut, then the number of tiles needed to cover the floor is 1,080. Which of the following could be the dimensions of the floor? (Note12 inches=1 foot.)

In the figure, the square ENFM is inscribed in the rectangle ABCD, E and F are the midpoints of side AB and DC. If the area of ENFM is 64, G and H are the midpoints of AD and BC, and GM=NH=5, then what is the area of ABCD?

In the figure shown above, the square ENFM is inscribed in the rectangle ABCD, point E and F are the midpoints of AB and CD. AB=16,GM=NH=3,what is the area of ENFM?

AEFD is a trapezoid, B is the midpoint of AE, ABCD is a square, and ∠CEF=90°

Quantity A

The area of square ABCD

Quantity B

The area of square CEF


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