Calculate Perimeter of the triangle | Three identical circles | Important Geometry skills explained

Learn how to calculate the Perimeter of the triangle that has three identical circles inscribed in it. They are tangent to each other. Simple and step-by-step explanation!

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Calculate Perimeter of the triangle | Three identical circles | Important Geometry skills explained

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Olympiad Mathematics
pre math
Po Shen Loh
Calculate the Perimeter
equilateral triangles
equilateral triangle
Perimeter Of Triangle
Circle
circles
Tangent
Circle Theorem
Two Tangent Theorem
Pythagorean Theorem

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[Waldlaeufer]

That's a cool question! Thank you for sharing!

[arulbiswas]

Sir can u make some question paper pdf's every month for us to practice? It will be a lot of help, I wasn't able to qualify for 2nd phase of indian maths olympiad.

[farrier]

I think though, you could have taken this vid' further, to the general solution for three identical circles in an isosceles triangle :-
Perimeter of the triangle = Radius of the Circles X 16.392
However, the logical thinking in your explanation teaches far more than just the mathematics. Nice one!

[yalchingedikgedik]

Thanks Sir
Using simple rules to solve hard questions .

[theoyanto]

Your usual elegant solution thanks, I'd forgotten about 30, 60, 90 thanks for that, I'm just learning so much its brilliant

[anatoliy]

Very nice task! It would be wonder to solve a similar probleme about a billiard rack filled with a set of pool balls, wouldn`t it? I wish you to be always happy, successful and blessed, dear Mr PreMath

[yalchingedikgedik]

Thanks sir
You are use simple rules to solve hard questions ،we are learning from you .

[BlipBlop]

Sir, I don't see why the triangle is equilateral. Can you please tell me why? I know it must involve tangency and the fact that the circles have the same diameter. It does seem that the three sides have to be congruent, but I don't know the theorem that would support my intuition. Thank you for your time.

[vidyadharjoshi]

Bisect the 60 by line from corner to the centre of circle. Tan 30 = 0.577 = 8/x. x = 13.85.
Perimeter = 6*13.85 + 6*8 = 131.14

[azhtv]

What is the name of the program used in the explanation

[dhrubajyotidaityari]

Aq Only one circle may be considered, which is inscribed in half of the eq. triangle with area √3a²/8, and semiperimeter a√3(√3+1)where a is the side of theke full eq triangle. Now from
∆=rs, a=16(√3+1)
Perimeter of the full triangle is
3a=48(√3+1)

[spiderjump]

One side = 8(sq root of 3)x2 +16
Hence the perimeter is easily found .

[rupamtiwari]

Why we take the traingle as equilateral traingle ??🤔

[houmanshirvani]

I did not understand why triangle is equilateral???

[markscher]

You assume this triangle is an equilateral triangle and it seems obvious. But can you show a proof it is equilateral?