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Answers
) △AMC≅△BMD
Proof: As 'M' is the midpoint
BM=AM
And also it is the mid point of DC then
DM=MC
And AC=DB (same length)
∴Therefore we can say that
∴△AMC≅△BMD
ii) ∠DBC is a right angle
As △DBC is a right angle triangle and
DC 2 =DB 2 +BC 2 (Pythagoras)
So, ∠B=90°
∴∠DBC is 90°
iii) △DBC≅△ACB
As M is the midpoint of AB and DC. So, DM=MC and AB=BM
∴DC=AB (As they are in same length)
And also, AC=DB
and ∠B=∠C=90°
By SAS Axiom
∴△DBC≅△ACB
iv) CM= 1/2 AB
As △DBC≅△ACB
CM=2/DC
∴DC=AB(△DBC≅△ACB)
So, CM= AB/2
∴CM= 1/2AB
u r also kvian !!
I know this question because this question is from class 9 cbse NCERT Book
I also studied !
Answer:
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