# An Isosceles Triangle Theorem

In the figure, HEG is an isosceles triangle with EH = EI.

Also HF
= GI.

A is the intersection of GF and HI.

The theorem
states that AF = FG.

In the figure, HEG is an isosceles triangle with EH = EI.

Also HF
= GI.

A is the intersection of GF and HI.

The theorem
states that AF = FG.

FH | |

EH/EI | |

HI | |

FA | |

AG | |

HA | |

AI | |

HA/AI |