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Ответ:
17*7=119
Объяснение:
это не првильно скорее всего
Нехай менша сторона прямокутника =х (см). Тоді більша =х+7 (см). За теоремою Піфагора:
х² + (х+7)² = 17²
х² + х² + 14х + 49 = 289
2х² + 14х + 49 - 289 = 0
2х² + 14х - 240 = 0. | : 2
х² + 7х - 120 = 0
За теоремою Вієта:
х=8 і х = -15(не підходить по змісту задачі)
Тоді 8 см - це менша сторона
8+7= 15 см - це більша сторона
Площа S прямокутника = ab
Тоді S=15*8 = 120 см²
Відповідь: 120 см²