Question

the area of a quadrilateral is 180 cm sq. the length of the perpendiculars drawn from the opposite vertices on the diagonals are 6cm and 14cm respectively. find the length of the diagonal​

Answer 1

Answer:

this is your answer

Step-by-step explanation:

now let us divide Dorian into two triangles along with the diagonal

given total area of Dorian =180cm square

let the diagonal be 'd' in terms of triangle

area=(b*h)/2

hear base is same = 'd' and height 'h' is given

so ,180cm square =6*d/2+14*d/2

180=3d+7d

180=10d

length of diagonal 'd' of Dorian =180/10=18 cm