2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:15 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
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\begin{frage}[4]%% Anzahl Punkte für diese Aufgabe

  Eine dreiseitige reguläre Pyramide (= Pyramide mit Grundseite in
  Form eines gleichseitigen Dreiecks) hate eine Grundseitenlänge von
  $s = 6$ cm.

  Berechnen Sie auf eine Genauigkeit von vier sig. Stellen die
  Pyramidenhöhe $h$ (=$h_P$) so, dass jede der drei Seitenflächen
  genau drei mal so groß ist, wie die Grundfläche.
  

  \vspace{1cm}

Tipp I: Berechnen Sie die Höhe des Grundseitendreiecks ($h_G$) und
daraus die Höhe eines der drei Seitendreiecke ($h_S$).

Tipp II: Der Schwerpunkt teilt die Schwerlinien im Verhältnis $1:2 =
\frac13 : \frac23$.

\vspace{1cm}
  
  Die gesuchte Pyramidenhöhe $h$ misst \LoesungsRaum{15.4919} cm.

  \platzFuerBerechnungen{16}%%
\TRAINER{$h_G = \frac62\sqrt{3}\approx 5.196 (1P); h_S = 3\cdot{}h_G \approx 15.59 (1P)$}
\end{frage}%%
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:15 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
2025/09/20 14:16:15 [I] [SQL] SELECT topic.* FROM `topic` INNER JOIN repo_topic ON repo_topic.topic_id = topic.id WHERE repo_topic.repo_id=? ORDER BY `topic`.`repo_count` DESC []interface {}{4}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `email`=? LIMIT 1 []interface {}{"phi@freimann.eu"}
2025/09/20 14:16:15 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "d0d5ee129b65c6c5a8dc866313c4c73ac76aa172"}
2025/09/20 14:16:15 [I] [SQL] SELECT max( id ) as id FROM `commit_status` WHERE (repo_id = ?) AND (sha = ?) GROUP BY context ORDER BY max( id ) desc LIMIT 10 []interface {}{4, "96bd396e2577b8419bfffc8b44974dc24d98ba12"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:15 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"phi"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1, "pruefungen"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{4}
2025/09/20 14:16:15 [I] [SQL] SELECT count(*) FROM `release` WHERE repo_id=? AND is_draft=? []interface {}{4, false}
2025/09/20 14:16:15 [I] [SQL] SELECT topic.* FROM `topic` INNER JOIN repo_topic ON repo_topic.topic_id = topic.id WHERE repo_topic.repo_id=? ORDER BY `topic`.`repo_count` DESC []interface {}{4}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `lower_name`, `name`, `full_name`, `email`, `keep_email_private`, `passwd`, `must_change_password`, `login_type`, `login_source`, `login_name`, `type`, `location`, `website`, `rands`, `salt`, `language`, `created_unix`, `updated_unix`, `last_login_unix`, `last_repo_visibility`, `max_repo_creation`, `is_active`, `is_admin`, `allow_git_hook`, `allow_import_local`, `allow_create_organization`, `prohibit_login`, `avatar`, `avatar_email`, `use_custom_avatar`, `num_followers`, `num_following`, `num_stars`, `num_repos`, `description`, `num_teams`, `num_members`, `diff_view_style` FROM `user` WHERE `lower_name`=? LIMIT 1 []interface {}{"gotogelsuper2808"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `owner_id`, `lower_name`, `name`, `description`, `website`, `default_branch`, `num_watches`, `num_stars`, `num_forks`, `num_issues`, `num_closed_issues`, `num_pulls`, `num_closed_pulls`, `num_milestones`, `num_closed_milestones`, `is_private`, `is_bare`, `is_mirror`, `is_fork`, `fork_id`, `size`, `is_fsck_enabled`, `topics`, `created_unix`, `updated_unix` FROM `repository` WHERE `owner_id`=? AND `lower_name`=? LIMIT 1 []interface {}{1145, "situs-toto-super-gotogel-gacor1993"}
2025/09/20 14:16:15 [I] [SQL] SELECT `id`, `repo_id`, `type`, `config`, `created_unix` FROM `repo_unit` WHERE (repo_id = ?) []interface {}{883}
