1. В параллелограмме ABCD угол А равен 70 градусов. Найдите градусную меру углов В. C. D.
2. Найдите средние линии треугольника. если его стороны равны 6 см, 12 см, 16 см.
3. В трапеции ABCD угол А= 35°, С= 140°. Найдите градусную меру углов Ви D.
4. Найдите вписанный угол, если градусная мера дуги окружности, на которую он
опирается, равна 54°.
5. Известно, что треугольники ABC и A,B,C, подобные, причем стороне AB
соответствует сторона А, В, а стороне ВС - сторона B1C1. Найдите неизвестные стороны
этих треугольников, если AB=14 см, А,В=7 см, ВС=9 см, A,C,=10 см.
6. Найдите гипотенузу прямоугольного треугольника. если его катеты равны 3 см и 4 см.
7. Боковая сторона равнобедренного треугольника равна 7 см, а основание 10 см. Найдите
Высоту треугольника, проведенную к основани!0.
8. В прямоугольном треугольнике ABC угол ( = 90°, катег ВС = 6. Гипотенуза АВ= 10.
Найдите синус, косинус. Тангенс. котангенс угла А.
9. Найдите значение выражения sin60° - cos30° - 1945°- cos450​

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Дано: АВСВ - паралелограм, Р=48 см., СМ - бісектриса,  DM : MA = 5 : 2. Знайти АВ=СD,  AD=BC.

∠BCM=∠MCD за умовою

∠CMD=∠МСВ як внутрішні різносторонні при АD║ВС та січній  СМ, отже

∠CMD=∠MCD,  ΔMCD - рівнобедрений,  СD=MD.

Нехай АМ=2х см,  МD=5х см,  СD=5х см,  ВС=2х+5х=7х см,  АВ=5х см.

2(5х+7х)=48

12х=24;  х=2.

АВ=СD=5*2=10 см,  AD=BC=7*2=14 см.