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Ответы на вопрос:

HermioneGranger19

Геометрия

4,4(98 оценок)

108 см²

Объяснение: Дано: КМРТ - параллелограмм, МР=КТ=18 см, КМ=РТ=12 см. КН и КС - высоты. ∠СКН=150°. Найти S(КМРТ).

Высоты, проведенные из острого угла параллелограмма, падают на продолжение его сторон.

∠КСТ=∠КНМ=∠ТКН=90°; тогда ∠СКТ=150-90=60°,

∠СТК=90-60=30°.

Высота КС лежит против угла 30°, значит КС=1/2 КТ=18:2=9 см.

S(КМРТ)= КМ*КС=12*9=108 см°

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