Question

Activity 7: Right or Not? Develop or reinforce the Pythagorean theorem and its converse and explore the relationship between the lengths of the sides of a triangle and its classification as acute, right, or obtuse Online: Centimeter Graph Paper Other: Scissors PURPOSE MATERIALS Work individually or in pairs. GROUPING From a sheet of graph paper, cut out squares with areas 9, 16, 25, 36, 49, 64, 81, 100, 121, 144, and 169 square centimeters. Use three squares to construct a triangle as shown. Determine if the triangle is acute, right, or obtuse. If necessary compare the angles of the triangles to the corner of an index card to determine if the angles are acute, right, or obtuse. Enter the data in Table 1. Use additional sets of three squares to construct other triangles and enter the data in Table 1. 64 TABLE Sum of the Areas of Triangle Is the Area of Square 36 64 25 Area of the Largest the Smallest the Third Square Area of Square Squaresor O 45 obtuse 64 100 36 36 16 169 121 144

Answer 1

Solution:

ebtuse Riant Acute Obtur 6노 36 /20 36 64 2 44 36 167 12 i44 er 16 41 443C Acute IS3 ,1 &1 130 6 4 obtuse 16 34 buse Rignt P, 25一