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A is the center of the circle and ∠CAB=50°

Quantity A

AB

Quantity B

BC


The leg of isosceles triangle A is 8, while the leg of isosceles triangle B is 10.

Quantity A

The area of isosceles triangle A

Quantity B

The area of isosceles triangle B




The figure consists of 14 identical equilateral triangular regions. If the area of the figure is $$56\sqrt{3}$$, what is the perimeter of the figure?
In an equilateral triangle ABC,three points P,Q and R are on the side AB,AC and BC, respectively.

Quantity A

The sum of any two interior angles in Δ ABC

Quantity B

The sum of any two interior angles in Δ PQR



In a right isosceles triangle, the area of the shaded region is 44,BD=CE=4,and AC=AB,what is the length of AC?

If ∠ABC=∠ADB=∠DEB=∠ECB=90°,what is the total value of x+y+z?

Quantity A: The perimeter of the quadrilateral ABCD
Quantity B: 20

Quantity A

The length of the third side where the length of the remaining two sides of a right triangle is 2 and $$\sqrt{3}$$, respectively.

Quantity B

$$\frac{3}{2}$$


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?

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