Looking for Pythagoras:The Pythagorean Theorem (Connected by Glenda Lappan, James T. Fey, William M. Fitzgerald, Susan N.

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 interesting Unit Opener, Investigations, log on internet codes, ACE Homework, Mathematical Reflections, a Unit venture, on reflection and looking out forward, and a thesaurus of phrases in English and Spanish
  • Available in English and Spanish

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Extra resources for Looking for Pythagoras:The Pythagorean Theorem (Connected Mathematics 2)

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Segment AB below makes a 458 angle with the x-axis. The length of segment AB is 5 units. 4 y B 2 A O 45° x 5 a. Find the coordinates of point B to two decimal places. b. What is the slope of line AB? qxd 6/8/06 9:11 AM Page 61 In Exercises 50–52, you will look for relationships among the areas of similar shapes other than squares drawn on the sides of a right triangle. 50. Half-circles have been drawn on the sides of this right triangle. a. Find the area of each half-circle. 5 units 4 units b. How are the areas of the half-circles related?

Qxd 6/8/06 9:11 AM Page 53 Applications 1. The hypotenuse of a right triangle is 15 centimeters long. One leg is 9 centimeters long. How long is the other leg? 2. 1 includes only the first 11 triangles in the wheel. The wheel can go on forever. a. Find the side lengths of the next three triangles. b. Find the areas of the first five triangles in the wheel. Do you observe any pattern? c. Suppose you continue adding triangles to the wheel. Which triangle will have a hypotenuse of length 5 units? In Exercises 3 and 4, find the missing length.

Explain your work. C 30° A 8 units D B A. Find the perimeter of triangle ABC. B. Find the area of triangle ABC. C. Find the areas of triangle ACD and triangle BCD. Homework starts on page 53. ” Now you know what the scarecrow meant to say, even though his still imperfect brain got it wrong! qxd 6/8/06 9:11 AM Page 53 Applications 1. The hypotenuse of a right triangle is 15 centimeters long. One leg is 9 centimeters long. How long is the other leg? 2. 1 includes only the first 11 triangles in the wheel.

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