1.

Date! Find-the ay eo-a -tot anglo-foe,medJein jing the. nud paints 역 -the-fida-adtnethe Cide theto,3): find the stato-역-thit at 29 to theanea the gien range

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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