Question

abcd is a trapezium side ab is parallel to side dc point p and q are the midpoint of side ab and CD respectively ab is equal to 7 cm DC is equal to 13 cm find the length of the side PQ​

Answer 1

Answer:

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Step-by-step explanation:

Given: ABCD is a trapezium in which \small AB\parallel DC, BD is a diagonal and E is the mid-point of AD. A line is drawn through E parallel to AB intersecting BC at F (see Fig. \small 8.30).

To prove: F is the mid-point of BC.

In \triangleABD,

E is the midpoint of AD. (Given)

EG || AB (Given)

By converse of midpoint theorem,

G is the midpoint of BD.

In \triangleBCD,

G is mid point of BD. (Proved above)

FG || DC (Given)

By converse of midpoint theorem,

F is the midpoint of BC.