A quadrilateral has an area of 23.36sq.cm.The lengths of perpendiculars drawn from the opposite vertices on one of the diagonal are 3.2cm each .Find the length of the diagonal
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Area of quad ABCD = 23.36sq cm
Area of triangle ADC = 23.36/2
=> 11.68 Sq cm
In AOC base = AC & height = OP = 3.2m
Now since OP is a perpendicular so AOC is a right triangle
Area of triangle = 1/2 × b × h
=> 1/2 × 3.2 × b = 11.68
=> 1.6 × b = 11.68
=> b = 11.68/1.6
=> AC = 7.3m
Hope it helps uh..
Thanks....☺☺✌
Area of quad ABCD = 23.36sq cm
Area of triangle ADC = 23.36/2
=> 11.68 Sq cm
In AOC base = AC & height = OP = 3.2m
Now since OP is a perpendicular so AOC is a right triangle
Area of triangle = 1/2 × b × h
=> 1/2 × 3.2 × b = 11.68
=> 1.6 × b = 11.68
=> b = 11.68/1.6
=> AC = 7.3m
Hope it helps uh..
Thanks....☺☺✌
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