The Triangle in Red

The following is a question from TOT Junior-O Level. The question has been posted as asked during the exam.

On a list of paper, a blue triangle is drawn. A median, a bisector and an altitude of this triangle (not necessarily from 3 distinct vertices) are drawn red. The triangle dissects into several parts. Is it possible that one of these parts is a regular triangle with red sides?

#Geometry

Easy Math Editor

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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}`	$\boxed{123}$

Comments

@Pi Han Goh Sorry for troubling you again, But could you please help us out with this one as well? :)

Mehul Arora - 5 years, 3 months ago

@Xuming Liang @Nihar Mahajan

Mehul Arora - 5 years, 3 months ago

@Kshitij Alwadhi try this

Kunal Jain - 5 years, 3 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}`	$\boxed{123}$