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Date! Find-the ay eo-a -tot anglo-foe,medJein jing the. nud paints ě -the-fida-adtnethe Cide theto,3): find the stato-ě-thit at 29 to theanea the gien range |
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Answer» Ar (triangle ABC) = 1 ÷ 2 [0 (1-3) + 2(3+1) + 0(-1-1) ] sq. units = 1 ÷ 2 [ 0 + 8 + 0 ] sq. units = 8 ÷ 2= 4 sq. units ----------- (i) Also coordinates of mid - points of sides are D (1,2) , E (0,1) and F (1,0) • ar (triangle DEF) = 1 ÷ 2 [ 1 (1-0) + 0 (0-2) + 1 (2-1) ] sq. units ar (triangle DEF) = 1 ÷ 2 [ 1 + 0 + 1 ] ar (triangle DEF) = 2 ÷ 2 = 1 sq. unit ------------(ii) From (i) and (ii), ar (ABC) : ar (DEF) = 4 : 1 ans. |
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