## 1. | Cut a unit square into 5 triangles, all of which have area less than .21. |

## 2. |
Cut a square into 5 triangles whose areas are in geometric progression. |

## 3. |
Cut a square into 5 isoceles triangles, no two of which are similar. (solution by Evan Whitney) |

## 4. |
Cut a square into 7 isoceles right triangles, no two of which are congruent. (second solution by Bob Wainwright) |

## 5. |
Cut a square into 8 right triangles, all having one leg twice as long as the other, no two of which are congruent. |

## 6. |
Cut a square into 8 acute triangles. (solution by David Epstein) |

## 7. |
Cut a unit square into 8 triangles with sides no larger than 5/8. |

## 8. |
Pack 7 equilateral triangles with side 1/2 into a unit square. |