Question

in a figure abcd is a trapezium AD-BC P and R are the m.p of non parallel sides AB and DC respectively. the segment pR bisects the diagonal AC. if AD - 6cm and BC -5cm. find the length of or (hint join AC )



please do solve this question​

Answer 1

Answer:

Step-by-step explanation:

AB || CD  (given)

 

E is mid point of AD (given)

 

EF || DC (given)

 

Let us join BD and let EF meets BD at G.

 

since EF || DC and AB || DC, we have EG || AB.

 

In Δ ABD, EG || AB and E is mid point of AD. Hence EG = (1/2)AB and BG = DG ................(1)

 

similarly we can say GF || DC.

 

in Δ BCD,  FG || CD and G is mid point of BD. Hence GF = (1/2)DC ..........................(2)

 

from (1) and (2), we have   EG+GF = EF = (1/2)(AB+DC)