56.Sample answer:You can copy the segment onto a coordinate plane and then use either thePythagorean Theorem or the Distance Formula to find its length. Answers should include thefollowing.• To use the Pythagorean Theorem, draw avertical segment from one endpoint and ahorizontal segment from the other endpoint to form a triangle. Use the measures of thesesegments as aand bin the formula a2b2c2. Then solve for c. To use theDistance Formula, assign the coordinates of theendpoints of the segment as (x1,y1) and (x2,y2).Then use them in d(x2x1)2(y2y1)2tofind the length of the segment.• 617.8 units57.B;d¬(x2x1)2(y2y1)2d¬(26)2(411)2d¬(8)2(15)2d¬64225d¬289d¬1758.APage 27Maintain Your Skills59.WYWXXYWY134212WY414WYis 414in. long.60.ACABBC8.53BC5.5BCBCis 5.5 cm long.61.Sample answer:62.63.2k¬5k303k¬30k¬1064.14x31¬12x814x¬12x392x¬39x¬329or 19.565.1808t¬902t908t¬2t90¬10t9¬t66.12m7¬3m5212m¬3m459m¬45m¬567.8x7¬5x208x¬5x133x¬13x¬13368.13n18¬5n3213n¬5n508n¬50n¬580or 6.25Page 28Geometry Activity: Modeling thePythagorean Theorem
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