Pythagorean Theorem

Student Worksheet

Name____________________________________

# First Quest

Mastering the Basics - In this section, you will learn to classify triangles according to their angles and sides.

1) What is the sum of the angles of every triangle? ___________________

2) A triangle in which all the sides have the same length is called an ___________________ triangle.

3) A triangle with two sides having the same length is called an _______________________ triangle.

4) A triangle in which none of the sides have the same length is called a ________________ triangle.

5) A triangle with a 90o angle is called a __________________ triangle.

6) A triangle with an angle greater than 90o is called an ______________________ triangle.

7) A triangle in which none of the angles are greater than 90o is called an ______________ triangle.

8) A triangle in which all of the angles are congruent to each other is called an ___________________ triangle.

9) How many triangles were you able to correctly classify in 60 seconds by their angles? ______

10) Can you beat your own record? How many did you correctly classify this time? ___________

Go to the next link (#3).

11) How many triangles were you able to correctly classify in 60 seconds by their sides? ______

12) Try it again! How many this time? ___________

Go to the next link (#4).

13) This one will slow you down! How many third angles were you able to correctly identify in 60 seconds?_________________

14) Try it again! How many? _______________

# Second Quest

Mastering the Pythagorean Theorem

In this section you will learn about a powerful formula for working with right triangles and practice using it to solve practical problems.

Go to the next link (#5).

15) The Pythagorean Theorem is a powerful tool for finding the length of the third side of a right triangle when the other two sides are given. The Pythagorean Theorem (formula) is _________________________________ where A and B are the legs of the triangle and C is the hypotenuse ( always directly across from the right angle).

16) Use the Pythagorean Theorem to find the length of the third side of the right triangle described below. Round your answer to the nearest tenth.

One side is 7, the second side is 12, how long is the hypotenuse?

72 + 122 = C2
49 + 144 = C2
193 = C2 Use your calculator to find the square root of 193 and, of course, the square root of C2 is just C so...
13.89 = C

Now you try it. One side is 8, the second side is 9. How long is the hypotenuse? ____________

Go to the next link (#6).

17) Did you solve the ladder problem? Enter the answer here. ______________________

Go to the next link (#7).

18) How far did you have to throw that baseball? __________________

# Third Quest

Solving the Mysterious Bermuda Triangle

In the final section you will research the Bermuda Triangle and offer a logical explanation for a mysterious disappearance.

Go to the next link (#8).

19) What has happened in the Bermuda Triangle that has given it a mysterious reputation?

20) Give three possibilities to explain why so many ships have disappeared in this area.

Go to the next link (#9).

21) Although the area is called the Bermuda Triangle, there is disagreement about the exact location and shape. Using the map on this link give the location of the apexes of the triangle.

from__________________ to____________________to_________________

22) When classified by its sides, what type of triangle does this most closely resemble?

23) When classified by its angles, what type of triangle does this most closely resemble?

Go to the next link (#10) and read some of the theories offered to explain the disappearances. Using this information, choose one of the missing ships from the last link (#11) and explain the disappearance according to the directions in question 24.

24) Choose a ship from the list, print out the description of the incident and write an essay explaining what could have happened. Be sure to support your explanation with facts from the theories link.