a square whose sides are 2 cm,have got its corners cut.a regular octagon is formed find the length of each side. Created by ayushi00013. Math

Each side is 16cm.Hope this will help.

a square whose sides are 2 cm,have got its corners cut.a regular octagon is form...

TheUrvashi Let ABCd is a square and AB = BC = CD= DA = 2 m

Again, we form a rectangular octagon by cutting all four corners.

Let EF = FG = GH = HI = IJ = JK = KL = LE = x

Now, by symmetry, we get

AE = Al = BG = BF = Ch = CI = DJ = Dk = a

In triangle ALE, apply Pythagorus theorem,

AL2 = AE2 + LE2

=> x2 = a2 + a2

=> x2 = 2a2

=> x = a√2

=> a = x/√2 ....................1

Again, AB = AE + EF + FB

=> 2 = a + x + a

=> 2 = 2a + x

=> 2 = 2x/√2 + x

=> √2x + x = 2

=> (√2 + 1)x = 2

=> x = 2/(√2 + 1)

So, the side of an octagon is 2/(√2 + 1) m

RajendraBhukar I see your answer nice answer you are writing in maths that is too good

TheUrvashi thanx

RajendraBhukar I think that you are old in this app

TheUrvashi no i am using since February 2018

ayushi00013 can u send me the diagram too

RajendraBhukar I am also old

RajendraBhukar what happened

RajendraBhukar why are you not replying me

RajendraBhukar what happened to you

RajendraBhukar kuch to bol

Questions

Answers & Comments

Add an Answer

Write a letter to your friend telling him to improve his handwriting in hindi pl...

someone please answer my latest question.its very important.it should be written...

while a cat was outside it started to downpour the cat couldnt find any sheltef58794123cdfc56ff8cb8b9f8e2539b 6326

what happens during adolscence...

can someone please tell about transitive and intransitive sentences clearly and ...

write a short essay about your role model and his or her qualities in hindi.u co...

sometimes i shine sometimes im dull sometimes i am big and sometimes i am sm90dc83169affdf4ba20046e3d30e06cd 93601

write about your first week in a new class in hindi.please do it fast its a emer...

5} is a irrational no. or not...

is the perimeter of a rectangle and a parrallelogram equal if their base and are...

Recommend Questions

Helpful Links

Helpful Social