2.3+Finding+Lengths+0910

October 5, 2009 A. R. Big Idea: The dimensions of a right triangle can be determined with limited information Essential Question: How can I use square roots to find information about triangles? Notes: Get the total area of the space. Then find the area of the square. Next subtract the total area and the area of the square.


 * __Problem 2.3 and follow up__**


 * On the 5-dot-by-5-dot grids on Labsheet 2.3, draw line segments of various lengths by connecting dots. Try to draw segments with as many different lengths as possible. Use the method described on the previous page to find the length of each segment. To find some of the lengths, you will need to draw squares that extend beyond the 5-dot-by-5-dot grids. Label each segment with its length. Use the symbol to express lengths that are not whole numbers.



Problem 2.3 Follow Up

1 a. Estimate each length that is not a whole number by measuring the segment with a centimeter ruler. (Going Horizontally)

The first square's length is 2cm The second square's length is 1cm The third square's length is 4cm The fourth square's length is 1.4cm The fifth square's length is 3cm The sixth square's length is 2.8cm

****1b. Use your calculator to express each length that is not a whole number as a decimal to the thousandths place. (Going Horizontally) **

The first square's length is 2 The second square's length is 1 The third square's length is 4 The fourth square's length is 1.414213562 The fifth square's length is 3 The sixth square's length is 2.828427125


 * 2. Express the length of the line segment below by using the** **√** **symbol.**

The length of the line is √ 29.
 * 3. Between what two consecutive whole numbers is the length of the line segment in question 2?**

The length of the line segment in question 2 is between 5 and 6.