Book Online Demo

Check Your IQ

Try Test

Courses

Dropper NEET Course Dropper JEE Course Class - 12 NEET Course Class - 12 JEE Course Class - 11 NEET Course Class - 11 JEE Course Class - 10 Foundation NEET Course Class - 10 Foundation JEE Course Class - 10 CBSE Course Class - 9 Foundation NEET Course Class - 9 Foundation JEE Course Class -9 CBSE Course Class - 8 CBSE Course Class - 7 CBSE Course Class - 6 CBSE Course

Offline Centres

Which of the following options is true for the wheel of Theodorus?

see full answer

Talk to JEE/NEET 2025 Toppers - Learn What Actually Works!

Real Strategies. Real People. Real Success Stories - Just 1 call away

An Intiative by Sri Chaitanya

It doesn’t have any isosceles triangle.

The spiral chord is started with an isosceles triangle with each leg having length 2 units.

The spiral is stated with an isosceles right angle triangle each having unit length.

None of these

answer is C.

(Unlock A.I Detailed Solution for FREE)

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Detailed Solution

Now let us first understand the wheel of Theodorus.
⇒ Now Let us draw two sides, both length 1 unit perpendicular to each other.
seo

⇒ Now connect the endpoints to form a triangle.
seo

⇒ Now we know that the sides are of length 1 unit.
⇒ Hence by Pythagoras theorem we have length of hypotenuse is

\sqrt{{1^{2} + 1}^{2}}

\sqrt{2}

⇒ Now again draw a unit side perpendicular to one end of the hypotenuse. Hence we get
seo

⇒ Now again join the two sides to form a triangle.
seo

⇒ Now in this new triangle, we have one length is

\sqrt{2}

and another is 1.
Hence we get the length of hypotenuse is

\sqrt{{(\sqrt{2})}^{2} + 1^{2}}

\sqrt{2 + 1}

\sqrt{3}

⇒ Now we continue these steps after 5 triangles we get a structure in the form of
seo

Now as we keep continuing this we can see the structure forming a wheel.
⇒ This is called the wheel of Theodore.
Now consider the given options
Hence option c is the correct option.
So, option (3) is correct.

Watch 3-min video & get full concept clarity

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE

Best Courses for You

JEE

NEET

Foundation JEE

Foundation NEET

CBSE

Get Expert Academic Guidance – Connect with a Counselor Today!

Result Producing online coaching for JEE/NEET of south India

Largest All India Test Series for JEE/NEET

Best Online Course for IIT JEE

Best Online Course for NEET

Best Online Course for CBSE