The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 5 and 12 inches; the second-smallest triangle has a hypotenuse of length one and one half feet.

Which of the following responses comes closest to the area of the largest triangle?

Note: Figures NOT drawn to scale.

Refer to the above figures - a right triangle and a square. The area of the triangle is what percent of the area of the square?

Triangle B has a height that is twice that of Triangle A and a base that is one-half that of Triangle A. Which is the greater quantity?

(a) The area of Triangle A

(b) The area of Triangle B

Two triangles are on the coordinate plane. Each has a vertex at the origin.

Triangle A has its other two vertices at and .

Triangle B has its other two vertices at and .

Which is the greater quantity?

(a) The area of Triangle A

(b) The area of Triangle B

The above figure depicts Trapezoid . Which is the greater quantity?

(a) The area of

(b) The area of

Construct rectangle . Let and be the midpoints of and , respectively, and draw the segments and . Which is the greater quantity?

(a) The area of

(b) The area of

Figure NOT drawn to scale

Refer to the above diagram, in which is a right triangle with altitude . Which is the greater quantity?

(a) Four times the area of

(b) Three times the area of

Figure NOT drawn to scale.

Refer to the above diagram, in which is a right triangle with altitude . Which is the greater quantity?

(a) Twice the area of

(b) The area of

The above depicts Square ; , and are the midpoints of , , and , respectively. Which is the greater quantity?

(a) The area of

(b) The area of

The length of a side of a square is one-half the length of the hypotenuse of a triangle. Which is the greater quantity?

(a) The area of the square

(b) The area of the triangle