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Question Number 96922 by  M±th+et+s last updated on 05/Jun/20

Commented by  M±th+et+s last updated on 05/Jun/20

prove that: r_1 +r_3 +r_5 =r_2 +r_4 +_6

provethat:r1+r3+r5=r2+r4+6

Commented by mr W last updated on 05/Jun/20

symmetry:  r_1 =r_6   r_2 =r_5   r_3 =r_4   ⇒r_1 +r_3 +r_5 =r_2 +r_4 +r_6

symmetry:r1=r6r2=r5r3=r4r1+r3+r5=r2+r4+r6

Commented by  M±th+et+s last updated on 05/Jun/20

but the adjacent 2 triangles around the  right angle are not necessarily congrunet

buttheadjacent2trianglesaroundtherightanglearenotnecessarilycongrunet

Commented by mr W last updated on 05/Jun/20

give an example please.

giveanexampleplease.

Commented by  M±th+et+s last updated on 05/Jun/20

yes sir   i mean you cannot assume r_1 =r_6   because the circle look like same

yessirimeanyoucannotassumer1=r6becausethecirclelooklikesame

Commented by  M±th+et+s last updated on 05/Jun/20

it should be proved geometry

itshouldbeprovedgeometry

Commented by mr W last updated on 05/Jun/20

i did it with the word “symmetry”.  it′s too easy to prove and also obvious.

ididitwiththewordsymmetry.itstooeasytoproveandalsoobvious.

Commented by mr W last updated on 05/Jun/20

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