i dont have rd sharma so please solve it for me. In a trapezium ABCD, AB ll DC and DC = 2AB. EF ll AB where E and F lie on BC and AD respectively such that BE /EC = 4/3. Diagonal DB intersects EF at G . Prove that 7EF = 11AB.

Question

Arun · Answer

Dear student

given DC = 2 AB

Draw BH parallel to AD. H will be the middle point of DC as AB = DH.
Sin EF || AB, FI = AB

The ΔBHC and ΔBIE are similar as the corresponding sides are parallel.
So IE / HC = BE / BC
IE = HC * BE / BC
= y * 4x/7x = 4 y / 7

EF = FI + IE= y + 4 y /7 = 11 y / 7

so 7 EF = 11 AB

Regards
Arun (askIITians forum expert)

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i dont have rd sharma so please solve it for me. In a trapezium ABCD, AB ll DC and DC = 2AB. EF ll AB where E and F lie on BC and AD respectively such that BE /EC = 4/3. Diagonal DB intersects EF at G . Prove that 7EF = 11AB.

i dont have rd sharma so please solve it for me.

In a trapezium ABCD, AB ll DC and DC = 2AB. EF ll AB where E and F lie on BC and AD respectively such that BE /EC = 4/3. Diagonal DB intersects EF at G . Prove that 7EF = 11AB.

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i dont have rd sharma so please solve it for me. In a trapezium ABCD, AB ll DC and DC = 2AB. EF ll AB where E and F lie on BC and AD respectively such that BE /EC = 4/3. Diagonal DB intersects EF at G . Prove that 7EF = 11AB.

i dont have rd sharma so please solve it for me. In a trapezium ABCD, AB ll DC and DC = 2AB. EF ll AB where E and F lie on BC and AD respectively such that BE /EC = 4/3. Diagonal DB intersects EF at G . Prove that 7EF = 11AB.

1 Answers

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i dont have rd sharma so please solve it for me.

In a trapezium ABCD, AB ll DC and DC = 2AB. EF ll AB where E and F lie on BC and AD respectively such that BE /EC = 4/3. Diagonal DB intersects EF at G . Prove that 7EF = 11AB.