U chburchak medianasi deb uchburchakning bir uchi bilan unga qarshi tomon o’rtasini tutashtiruvchi kesmaga aytiladi. Uchburchakda uchta mediana bo’lib, ular ma , mb , mc kabi belgilanadi.
quat
Mediananing xossalari
Uchala mediana bir nuqtada kesishadi, bu nuqta medianani 2:1 nisbatda bo’ladi.
Mediana uchburchakni ikkita yuzi teng uchburchaklarga ajratadi.
Mediana uzunliklari quyidagi formulalar yordamida topiladi:
U chburcakning burchak bissektrisasi deb ichki burchagini teng ikkiga bo’luvchi to’g’ri chiziq kesmasiga aytiladi. Uchburchakda uchta bissektrisa bo’lib, ular la , lb , lc kabi belgilanadi.
Bissiktrissaning xossalari
Uchala bissektrisa bir nuqtada kesishadi. Bu nuqta ichki chizilgan aylana markazi bo’ladi.
B issektrisa qarshi tomonni qolgan tomonlarga nisbatan proportsional bo’laklarga ajratadi:
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHsAAABFCAYAAABqt5miAAAACXBIWXMAAA69AAAOzwFa8ovZAAABoklEQVR4nO3WyY7CMBRE0Y7E//9yukGUZFpgnMTDG+7dZIt0VPjd9n3/oRzdVv8AGt+2bY9Fgx04If/9e2/3L9gB+4+swA7UJ2QFdpDu0J+QFdjO+7bmMrCddgRZge2sM8gKbEe1vMu1wHbQlTWXgW24XsgKbIP1RlZgG2oUsgLbSFePr5bAXtzoNZeBvaiZyArsya1AVmBPbMa7XAvsCa1ccxnYA7OCrMAekDVkBXbHrCIrsDu1+vhqCeyLWV9zGdgn84SswD6YR2QFdmOekRXYDXk4vloCu1KENZeB/aZoyArsoqjICuxnUd7lWumxo6+5LC12JmSVDjsjskqDnRlZpcDOcHy1FBqbNb8WEhvk94XCBrleGGze5e+5x2bN7bnFBvl47rBBPp8bbJCv5wKb46tPprFZc99MYoM8JlPYII/NBDbIc1qOzfE1r2XYrHl+07FBXtc0bJDXNwWbd9lGQ7FZs62GYINss67YINuuCzbIPrqMzfHlp9PYrNlfh7FB9lszNsj+a8LmXY5RFZs1x+otNsgxe8EGOXYPbJBz9AvCexEjR9kONAAAAABJRU5ErkJggg==) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAIkAAAAjCAYAAACgoylBAAAACXBIWXMAAA7LAAAO5QHo4qktAAAA8klEQVR4nO3YOwrDMBQFUQu8/y0rSZFgLnZiO/q8z0wnUKHicAuttdaF6KhSSl1nP4Js9UKxPT9HpIAkeXso9A5IknUGhQaS4N1BoYEkWC1QaCBxXg8UGkicNQKFBhLjzUChgcRYFlBoIJmcRRQaSAbnAYUGkgFtYXhAoYGkQx7X4lsgaVA0FBpIbhQdhQaSE2VDoYFkp+woNJAsoPhVSiSguFYKJKD4r5BIQNG2EEhA0Te3SLx/dXvKDRLWYl5mkYDCTmaQgMJu05CAwk/DkIDCb92QgCJOzZCAIm63kYAiT6eRgCJvh0hAQe8+SEBBRz0AUzKMjEa06hYAAAAASUVORK5CYII=) ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACMAAABFCAYAAADAdF8eAAAACXBIWXMAAA7cAAAOzwGZWlcmAAABEUlEQVR4nM3QBw7DMAwEwQjw/7+sxAFsuKhQLHfcFwx2q7V+srSxAUellJoGs5cCs1/5VVJgjuiY40oKzDUq5nqFjnlGwzyvUDGtKJjWFRqmFxzTu0LBjIJiRlfgmFkwzOwKFCMJgpFcgWGkhWOkVyCYlUIxK1fCMauFYVavhGI0hWA0V8Iw2twx2ishGEuuGMsVd4w1N4z1iivGIxeMxxU3jFdmjNcVF4xnJoznFTPGOzXG+4oJE5EKE3FFjYlqGRN1RYWJbAkTeWUZE50YE31lCYNIhEFcEWNQTTGoKyIMsiEGeWWKQdfFoK8MMYyaGMaVLobVC8O60sQwu2GYV14YdieGfeWGydAfk+HKicnSF0cgiRQk/LYGAAAAAElFTkSuQmCC)
c) Bissektrisa uzunliklari quyidagi formulalardan topiladi:
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