题目列表

题目内容
Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle?
I. 2
II. 12
III. 24

Which of the following statements individually provide(s) sufficient additional information to determine the area of triangle ABC above?
Indicate all such statements.
If the perimeter of the isosceles right triangle is (1+$$\sqrt{2}$$), what is the area of the triangular region?
Give your answer as a fraction.
In an isosceles triangle, the length of one of the three sides is 5, while the total length of two sides is 10.

Quantity A

The perimeter of the triangle

Quantity B

15



In the figure, what is the area of triangle ADB given that the area of triangle ACE is 4 and the area of triangle CDE is 3?
Give your answer as a fraction.
In an isosceles triangle △ABC, ∠A=62°

Quantity A

∠B

Quantity B

∠C



Quantity A

The perimeter of rectangular

Quantity B

The sum of the perimeter of two triangles



Quantity A

$$\frac{BD}{AB}$$

Quantity B

$$\frac{DC}{BC}$$



Quantity A

The area of triangle PQR

Quantity B

The area of triangle PSR



Quantity A

$$x+y$$

Quantity B

$$\sqrt{(x^2+y^2)}$$


The length of the three sides of a triangle is 9, 12 and 16.

Quantity A

The angle opposite to the longest side of the triangle

Quantity B

90°


The ratio of the length of three sides of a triangle is 3:5:7

Quantity A

The degree of the largest angle in the triangle

Quantity B

84°


P, Q, and R are three points in a plane that are not all on the same line. Which of the following describes the set of all points in the plane that are equally distant from points P, Q and R?

PQ=QR=QS

Quantity A

PS

Quantity B

RS



Quantity A: The length of IJ
Quantity B: 5


AB∥ED,△ABC and EDC are similar triangles, and the area of △EDC equals to $$\frac{1}{9}$$ of the area of △ABC. What is the ratio of EC to AE?

Give your asnwer as a fraction.

If the area of the region is 5880, then what is the perimeter of the region? (All the angles shown above are right angles)
In the xy-plane, one of the vertices of square S is the point (2, 2). The diagonals of S intersect at the point (6, 6).

Quantity A

The area of S

Quantity B

64



The figure above represents a rectangular garden with a walkway around it. The garden is 18 feet long and 12 feet wide. The walkway is uniformly 3 feet wide, and its edges meet at right angles. What is the area of the walkway?
A flat, rectangular flower bed with an area of 2,400 square feet is bordered by a fence on three sides and by a walkway on the fourth side. If the entire length of the fence is 140 feet, then which of the following could be the length, in feet, of one of the sides of the flower bed?
Indicate all such lengths.

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