Can you prove yourself?

Hello buddies! I know most of you are preparing for RMO. Following problem of mine would test your caliber.

Consider a triangle ABC such that angle A and angle B are 37 and 82 degrees respectively. Side AB is of length 10 units. Find the distance between circumcentre and incentre of triangle ABC.

Easy Math Editor

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`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
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`\sum_{i=1}^3`	$\sum_{i=1}^3$
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Comments

The correct answer is 2.23685419

Divyam Sharma - 5 years, 5 months ago

Congratulations.. I guess we others didn't used a calculator..

Parangat Mittal - 5 years, 5 months ago

**didn't use

Divyam Sharma - 5 years, 5 months ago

I have used few approximations. So my answer must not be precise. But please tell me if its somewhat nearer to that. My answer is 2.107 units

Parangat Mittal - 5 years, 7 months ago

Yeah I Am Getting Around 2.121 Too

Prakhar Bindal - 5 years, 7 months ago

2.26

Saarthak Marathe - 5 years, 6 months ago

Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$