pleas help me with this question
Answers
Answer:
Given:
AE//DB
BE//AD
D is the midpoint of BC
. : BD=DC
∆ADC=2cm*2
Step-by-step explanation:
∆ABD=∆AEB (diagonal divides the //gm into two equal halves)
∆ABD=∆ADC (triangles btw same parallel and having same base)
if ∆ADC = 2cm*2
Then //gm AEBD = 4cm*2
Given area of triangle ADC=2cm^2 , d is mdpt of BC
to find =ar //gm AEBD
construction= join A to D
proof= in triangle ABC, AD is the median,
so, ar triangle ADC= ar triangle ABD=2 cm^2
in //gm AEBD , diagonal AB divides the //gm into 2 congruent triangles
since congruent triangles have equal areas,
area of triangle ABD = area of triangle ABE
=2 CM^2
so area of
ABD + ABE = AEBD
2 + 2 = 4 CM^2
THEREFORE AREA OF //GM
AEBD IS 4 cm^2