By Glenda Lappan, James T. Fey, William M. Fitzgerald, Susan N. Friel, Elizabeth Difanis Phillips

- Soft-bound, 3-hole-punched to slot in scholars' binders
- 4-color with an enticing Unit Opener, Investigations, log on internet codes, ACE Homework, Mathematical Reflections, a Unit undertaking, on reflection and looking out forward, and a word list of phrases in English and Spanish
- Available in English and Spanish

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**Additional info for Looking for Pythagoras:The Pythagorean Theorem (Connected Mathematics 2)**

**Example text**

3 Finding Distances In Investigation 2, you found the lengths of tilted segments by drawing squares and finding their areas. You can also find these lengths using the Pythagorean Theorem. 3 Finding Distances In Questions A–D, refer to the grid below. L N K M Q P A. 1. Copy the points above onto dot paper. Draw a right triangle with segment KL as its hypotenuse. 2. Find the lengths of the legs of the triangle. 3. Use the Pythagorean Theorem to find the length of segment KL. B. Find the distance between points M and N by connecting them with a segment and using the method in Question A.

Find the distance between points M and N by connecting them with a segment and using the method in Question A. C. Find the distance between points P and Q. D. 13 units apart. Label the points X and Y. 13 units. Homework starts on page 38. 4 You will now explore these questions about the Pythagorean Theorem: • Is any triangle whose side lengths a, b, and c, satisfy the relationship a2 + b 2 = c 2 a right triangle? • Suppose the side lengths of a triangle do not satisfy the relationship a2 + b 2 = c 2.

C. How are the areas of the triangles related? Find a fraction equivalent to the terminating decimal. 29. 35 30. 1456 31. 050 For Exercises 32–34, tell whether the statement is true or false. 32. 36 58 Looking for Pythagoras 33. 21 34. qxd 6/8/06 9:11 AM Page 59 35. 4, you worked with this triangle. C 30° A B 8 units D a. Find the perimeter of triangle ACD. b. How is the perimeter of triangle ACD related to the perimeter of triangle ABC? c. How is the area of triangle ACD related to the area of triangle ABC?