 Pythagorean Theorem Practice Terms of Use    Contact Person: Donna Roberts  1.
Given the diagram at the right, as labeled, find x.

Choose:
 8 10 12 14 2.
Stanley, the skunk, is traveling from point A to point B by taking a shortcut through the pond. A path that avoids the pond is 25 feet south and 28 feet east. To the nearest tenth of a foot, how many feet will Stanley save by going through the pond instead of following the path? Choose:
 14.5 feet 15.0 feet 15.5 feet 16.0 feet

3.
Given the square at the right, as labeled,
find x.

Choose:
 2.5 0.5 2.5  4.
A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of foot, from first base to third base?

Choose:
 90 127.3 180 180.7 5.
The front view of a tent measures 6 feet across the bottom and 5 feet on the slanted sides. What is the height of the tent, in feet, at its tallest point?

Choose:
 3 4 4.5 5 6.
Given the rectangle at the right with diagonal 19 inches and height 10 inches. Find the width of the rectangle to the nearest inch. Choose:
 10 inches 14 inches 16 inches 19 inches

7.
In right triangle ΔABC, ∠C is a right angle, AC = and
AB = . Find BC.

Choose:    8.
A pennant, in the shape of an isosceles triangle, is shown at the right. The pennant has sides 13, an altitude x + 7, and a base 2x. Find the length of the base. Choose:
 5 10 12 24

9.
Which set of numbers could not represent the lengths of the sides of a right triangle?

Choose:
 {5,12,13} {3,4,5} {2,3,4} {8,15,17}

10.
Given the diagram shown at the right, as labeled in feet with B-C-D collinear. A chain is laid along the hypotenuse in each triangle. Find the total length of the chain. Choose:
 15 feet 25 feet 30 feet 40 feet

11.
Dylan wants to get from point A to point C as quickly as possible. He can climb the stairs directly from A to C at a rate of 20 meters per minute, or he can bike along the bike path from A to B to C at the rate of 30 meters per minute.
Which route will get Dylan to point C in less time?

Choose:
 stairs bike path 12.
Given the diagram at the right.
a) Find AC.
Choose:     b)
Find CB.

Choose:    13.
Using the Pythagorean Theorem, find the area of a equilateral triangle whose side measures 7 inches. Find the area to the nearest tenth of a square inch.

Choose:
 42.4 sq.in. 42.6 sq.in. 21.2 sq.in. 21.3 sq.in.

14.
Given the diagram at the right.
Find the value of 3x.

Choose:
 4 5 12 16 15.
An equilateral triangle is plotted in the coordinate plane such that two of its vertices are (1,0) and (7,0). What are the coordinates of the third vertex?

Choose:
 There is only one third vertex at . There is only one third vertex at (4,6). There are two possible third vertices at . There are two possible third vertices at (4,±6).

16.
Given the diagram at the right with side lengths of one unit labeled.
Find the value of the segments marked as x and y.

Choose:
 x = 4, y = 6 x = , y = x = 5, y = 7 x = , y =  17.
Given rhombus ABCD with side length of 30 and BD = 36.
Find AC.

Choose:
 18 24 36 48 18.
Given the diagram, as labeled, find x.

Choose:      