# First Quest

 Date 08.08.2018 Size 19.16 Kb.
Pythagorean Theorem Student Webquest Worksheet Name: ___________________

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

Click on the first Link (#1) in the webquest to begin completing your worksheet.

1. What is the sum of the angles of every triangle? __________.

2. A triangle which all the sides have the same length is called a ______________triangle.

3. A triangle with two sides having the same length is called a _____________ triangle.

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

5. A triangle with a 90 degree angle is called a _____________ triangle.

6. A triangle with an angle greater than 90 degrees is called an ____________triangle.

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

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

Go to the next Link (#2) to answer the following questions. Scroll down to timed test part.

1. How many triangles were you able to correctly classify in 60 seconds by their angles? ___________. Make sure to share this score with your teacher before you go on.

2. Can you beat your own record? How many did you correctly classify this time?

Go to the next Link (#3)

1. How many triangles were you able to correctly classify in 60 seconds by their sides? _________. Make sure to share this score with your teacher before you go on.

2. Can you beat your own record? How many did you correctly classify this time?

Go to the next Link (#4).

1. This one will slow you down! How many third angles were you able to correctly identify in 60 seconds? ___________. Share your results with teacher before going on.

2. Try it again! How many? _____. Share your results with teacher before going on.

## 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).

1. 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 for the triangle and C is the hypotenuse (always directly across from the right angle).

2. Below is an Example of using 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 = C

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. Given a right triangle with one side 8 meters, and the second side 6 meters, how long is the hypotenuse?_____________ meters. Show work.

Go to the next Link (#6)

Show work and label answer. Round answer to the nearest whole #.

Go to the next Link (#7)

1. Solve the Baseball problem. How far did you have to throw the ball? _________

Third Quest: Review on how to apply the Pythagorean Theorem

Complete Worksheet “Working with Pythagorean Theorem” (Get copy from teacher). You must show work and label answers.

1. After completing the above worksheet, show work to teacher. Teacher will give you the O.K. to go to this Link (Review) and check your answers.

Fourth 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).

1. What has happened in the Bermuda Triangle that has given it a

mysterious reputation? _______________________________________

________________________________________________________________________________________________________________________________

1. Give three possibilities to explain why so many ships disappeared in this area.

1. ___________________________________________________________________

2)___________________________________________________________________

3)___________________________________________________________________

Go to the next Link (#9).

1. Although the area is called the Bermuda Triangle, there is a 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 ______________________

1. When classified by its sides, what type of triangle does the Bermuda Triangle most closely resemble on the given map? __________________________________

1. When classified by its angles, what type of triangle does the Bermuda Triangle most closely resemble on the given map? __________________________________

Go to the next Link (#10) and read some of the theories offered to explain the disappearances (click Items listed under “Theories on the left-hand side of the screen). Using this information, choose one of the missing ships from Link (#11) and explain the disappearance according to the directions in question 25.

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