The lengths of the hypotenuses of ten similar right triangles form an arithmetic sequence. The smallest triangle has legs of lengths 3 and 4 inches; the second-smallest triangle has a hypotenuse of length one foot.

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

A given right triangle has two legs of lengths and , respectively. What is the area of the triangle?

A right triangle has two legs of lengths and , respectively. What is the area of the right triangle?

Right Triangle A has legs of lengths 10 inches and 14 inches; Right Triangle B has legs of length 20 inches and 13 inches; Rectangle C has length 30 inches. The area of Rectangle C is the sum of the areas of the two right triangles. What is the height of Rectangle C?

A right triangle has leg lengths of and . Find the area of the right triangle.

A given right triangle has legs of lengths and , respectively. What is the area of the right triangle?

A right triangle has leg lengths of and . Find the area of this triangle.

What is the area of a right triangle whose hypotenuse is 13 inches and whose legs each measure a number of inches equal to an integer?

Right Triangle A has hypotenuse 25 inches and one leg of length 24 inches; Right Triangle B has hypotenuse 15 inches and one leg of length 9 inches; Rectangle C has length 16 inches. The area of Rectangle C is the sum of the areas of the two right triangles. What is the width of Rectangle C?

Figure NOT drawn to scale

In the above figure, is a right triangle. , , . What fraction of has been shaded in?