Question

If abcd is a parallelogram, then prove that: ar(abc)=ar(abc)=ar(abc)=ar(pcd) = 1/2 ar(^gm abcd)

Answer 1

Step-by-step explanation:

Given,

abcd is a parallelogram

Construction,

draw a line from a to d

Solution,

ab=cd ( opposite sides of a parallelogram)

ac=ac( common diagonal)

bc=ad ( opposite sides of a parallelogram)

therefore triangle abc is congruent to triangle adc by sss congruence rule

therefore ar(abc)= ar(adc) ( two congruent triangles have equal areas)

ar(abc)+ar(adc) = ar abcd

since , ar(abc)= ar(adc)

therefore ar(abc)=1/2 ar(abcd) hence proved

Answer 2

Step-by-step explanation:

Hope it Helps !

Priyanshu Kumar Singh [ Student ; Trinity Global school ]