Предмет: Алгебра, автор: tanuskazarecnaa

знайдіть катет прямокутного кута, якщо відомо що один із катетів більший за другий на 5 см а гіпотенуза дорівнює 25 см​

Ответы

Автор ответа: sadiqovafirengiz2
1

Объяснение:

по теореме Пифагора а²+в²=с² и так как один катет больше другого на пять то составим уравнение х²+(х+5)²=25²

х²+х²+10х+25=625

2х²+10х-600=0

х²+5х-300=0

х1+х2=-5

х1×х2=-300,следовательно х1=15,х2=-20-не удовлетворяет условию,следовательно оди катет 15см,а другой 20см

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