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Example 3Find the area of the triangle at the right. Midpoint Formula To find the midpoint of the line segment between two points (x1, y1) and (x2, y2), use the formula: 2,22121yyxxM. Example 4 Find the midpoint of the line segment whose endpoints are (3, 5) and (7, –3). Example 5 If M(6, 5) is the midpoint of a line segment with one endpoint A(3,1), what are the coordinates of the other endpoint B(x1, y1(x2, y2M(–3, 5)(–3, –2)(3, –5)? ))
Math 1715, Section 2.1 3Extra Problem (From textbook problem #57)A city has streets that run north and south and avenues that run east and west, all equally spaced. Streets and avenues are numbered sequentially, as shown in the figure. The walking distance between points A and B is 7 blocks, that is 3 blocks east and 4 blocks north. To find the straight-line distance, use the distance formula. (a) Find the straight-line distance (in blocks) between A and B. (b) Find the walking distance and the straight-line distance between the corner of 4thSt. and 2ndAve. and the corner of 11thSt. and 26thAve. (c) What must be true about the points Pand Qif the walking distance between and Qequals the straight-line distance between Pand 1stSt. 2ndSt. 3rd St. 4thSt. 1stAve. 2ndAve. 3rdAve. 4thAve. A B N S W PQ? E