Question

1. Find the area of a quadrilateral ABCD when length
of the diagonal AC = 25 cm and lengths of
perpendiculars from B and Don AC are 12.5 cm and
15 cm respectively.​

Answer 1

Step-by-step explanation:

Given : Length of the diagonal (AC)=25 cm

Given : Length of the diagonal (AC)=25 cmArea of quadrilateral ABCD=ar(△ABC)+ar(△ACD)

Given : Length of the diagonal (AC)=25 cmArea of quadrilateral ABCD=ar(△ABC)+ar(△ACD)=(1/2 x AC xBM) +(1/2xAC xDL)

Given : Length of the diagonal (AC)=25 cmArea of quadrilateral ABCD=ar(△ABC)+ar(△ACD)=(1/2 x AC xBM) +(1/2xAC xDL) =1/2 x AC (BM +DL)

Given : Length of the diagonal (AC)=25 cmArea of quadrilateral ABCD=ar(△ABC)+ar(△ACD)=(1/2 x AC xBM) +(1/2xAC xDL) =1/2 x AC (BM +DL) =1/2 x25(12.5+15)

Given : Length of the diagonal (AC)=25 cmArea of quadrilateral ABCD=ar(△ABC)+ar(△ACD)=(1/2 x AC xBM) +(1/2xAC xDL) =1/2 x AC (BM +DL) =1/2 x25(12.5+15)=12.5 x27.5cm ^{2} =343.7 cm^{2}

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