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| 1. |
find the vertex D ,if a[1,2] b[4,3] c[6,6] |
| Answer» Let coordinates of D be\xa0{tex}( \\alpha , \\beta ){/tex}\xa0P is mid-point of AC and BD.{tex}\\therefore \\quad \\left( \\frac { \\alpha + 4 } { 2 } , \\frac { \\beta + 3 } { 2 } \\right){/tex}{tex}= \\left( \\frac { 1 + 6 } { 2 } , \\frac { 2 + 6 } { 2 } \\right){/tex}{tex}\\Rightarrow \\frac { \\alpha + 4 } { 2 }{/tex}{tex}= \\frac { 7 } { 2 } ; \\frac { \\beta + 3 } { 2 } = \\frac { 8 } { 2 }{/tex}{tex}\\Rightarrow{/tex}\xa0{tex}\\alpha + 4 = 7 ; \\beta + 3 = 8{/tex}{tex}\\Rightarrow \\quad \\alpha = 3 ; \\beta = 5{/tex}{tex}\\therefore{/tex}\xa0Coordinates of D are (3, 5). | |