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Example 17 - Find area of triangle (3, 8), (-4, 2), (5, 1) - Examples

Example 17 - Chapter 4 Class 12 Determinants - Part 2

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Example 17 Find the area of the triangle whose vertices are (3, 8), ( 4, 2) and (5, 1). The area of triangle is given by = 1 2 x1 y1 1 x2 y2 1 x3 y3 1 Here x1 = 3 , y1 = 8, x2 = 4 , y2 = 2, x3 = 5 , y3 = 1 = 1 2 3 8 1 4 2 1 5 1 1 = 1 2 3 2 1 1 1 8 4 1 5 1 +1 4 2 5 1 = 1 2 (3( 2 1) 8 ( 4 5) + 1 ( 4 10) ) = 1 2 (3 (1) 8 ( 9) + 1 ( 14)) = 1 2 (3 + 72 14) = 61 2 Thus, the required area of triangle is square units

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.