Question

The diagonal of a quadrilateral measures 24 m and the lengths of the
perpendiculars drawn to it from the opposite vertices is in the ratio 3 : 2. Find
the lengths of the perpendiculars, if the area of the quadrilateral is 390cm?​

Answer 1

radius = 24/2

= 12m

let 3 ratio 2 equal to 3x ratio 2x

3x + 2x = 180...... linear pair

5x = 180

x = 180/5

x = 37

3x = 3 x 37

= 111m

2x = 2 x 37

= 74m

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