The Triangle Inside the Incircle

Young Math BrainsCBSE Class 10 Board Prep App
Explore Full App →
Circles

The Triangle Inside the Incircle

CBSE Class 10 · Solve it one decision at a time. A wrong pick earns a nudge, never the answer.

Step 1 of 5

The problem

A circle is inscribed in equilateral △ABC\triangle ABC and touches BC,BC, CACA and ABAB at D,D, EE and F.F. Prove that △DEF\triangle DEF is equilateral.
ABCDEF

Step 1 · Your move

The two tangents from AA are AFAF and AEAE. What is true about them?

Helpful?