The perimeter of a regular pentagon is 75% of that of the triangle in the above diagram. Which is the greater quantity?

(A) The length of one side of the pentagon

(B) One and one-half feet

The track at Gauss High School is unusual in that it is shaped like a right triangle, as shown above.

Cary decides to get some exercise by running from point A to point B, then running half of the distance from point B to point C.

Which is the greater quantity?

(A) The distance Cary runs

(B) One-fourth of a mile

What is the hypotenuse of a right triangle with sides 5 and 8?

Which is the greater quantity?

(a) The hypotenuse of a right triangle with legs and .

(b) The hypotenuse of a right triangle with legs and .

What is the hypotenuse of a right triangle with sides 9 inches and 12 inches?

Figure NOT drawn to scale.

In the above figure, is a right angle.

What is the length of ?

In Square . is the midpoint of , is the midpoint of , and is the midpoint of . Construct the line segments and .

Which is the greater quantity?

(a)

(b)

Figure NOT drawn to scale.

In the above figure, is a right angle.

What is the length of ?

A right triangle has a leg feet long and a hypotenuse feet long. Which is the greater quantity?

(a) The length of the second leg of the triangle

(b) 60 inches

Given: with , , .

Which is the greater quantity?

(a)

(b)