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The value of |z1| will be the length of hypotenus of this triangle.....
This triangle is considered on the basis to make arg(height/base)
now to take out the hypotenus ,,let us find the value of other two sides
the length of one side which is z1-z/|z|=3
length of other side=z/|z|-0
we know if we apply mod on |z| the result will be same |z|
so here applying mod on num. and denominator we get |z|/|z|=1
hence lenth of another side=1-0=1
using Pythagoras theeorem we get
hypentenus={(1)^2+3^2}^1/2=√10
this will be the value of |z1|
A right angled ∆ will be formed.
Rest of the answer is in the given attachment.
hope it correct (•‿•)