Question

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

Answer 1

Hey Mate

here is ur answer

Answer 2

Heyaa...☺☺✌

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....☺☺✌