Chapter 4 Test Review Worksheet
Name: ______________________________ Period: ________
1. Determine whether or not the following sets of side lengths would form a right triangle.
Circle yes or no and show work to support your answer.
a) 7, 11, 9 Yes No
b) 20, 21, 29 Yes No
c) 8, 14, 17
Yes No
2. a) Draw a sketch using triangle #6 at right
to explain the Pythagorean Theorem.
b) Explain in words what the Pythagorean
Theorem means. Use the diagram as a reference.
3. A rope is stretched from the top of a 7-foot tent pole to a point on the ground 12 feet
from the base of the pole. How long is the rope? Draw and label a diagram to represent
this situation. Show your calculations and round your answer to the nearest tenth if
necessary.
4. A firefighter needs to get to the top window of a building. If the ladder is 40 feet long
and the base of the ladder is placed 12 feet from the building, can the ladder reach a
window that is 36 feet high? NOTE: If a ladder can reach higher than the window, then it
can reach the window. Show your calculations to support your answer.
5. Use Pythagorean Theorem to find the missing side lengths. Show work and round your
answers to the nearest tenth if necessary.
a)
b)
c)
Find the distance between the following coordinate pairs. Show complete work and
give your answer as a square root AND a number rounded to the nearest tenth.
6.
(3, -1) and (6, 5)
7. (-7, 3) and (-2, 8)