Question

In a quadrilateral the length of one diagonal is 12cm and the perpendicular distances to this diagonal from the opposite vertexes are 9cm and 6cm. if the length of the other diagonal of this quadrilateral is 18cm, find the sum of the perpendicular distances to this diagonal from the opposite vertices.

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Answer 1

Answer:

390 cm square

Step-by-step explanation:

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1/2×40(12+7.5)=20×19.5=390cm  

Answer 2

Answer:

Area of quadrilateral =  

1/2*d1*(h1+h2)

Step-by-step explanation:

Area= 1/2(12)(9+6)

       = 80cm^2

Similarly,

Area= 1/2(18)(h1+h2)

       =9(h1+h2)

       =80 (proved above)

Therefore,

h1+h2= 80/9cm