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B(2,8) into four equal parts. Sind ti rea of a thombus ifits vertices are (3, 0), (4, 5), -1, 4) and (-2,-1) taken innder (Hint: Area of a thombus (prodtict of its diagonals)]of a r |
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Answer» Sol:Coordinates of the opposite vertices of the rhombus are (3, 0) and (-1, 4); (4, 5) and (-2, -1). Length of the diagonals:Length of first diagonal joining the vertices (3, 0) and (-1, 4) = √[(-1-3)2+ (4 - 0)2] = √[16 + 16] = √32 = 4√2Length of first diagonal joining the vertices (4, 5) and (-2, -1) = √[(-2-4)2+ (-1 - 5)2] = √[36 + 36] = √72 = 6√2Area of the rhombus = 1/2 x product of the diagonals= 1/2 x 4√2 x 6√2= 24 sq units. |
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