Предмет: Геометрия, автор: masterGi

катети прямокутного трикутника відносяться як 3:4 а гіпотенуза дорівнює 15 см. обчислити периметр і площу трикутника(СРОЧНО НУЖНО)

Ответы

Автор ответа: Пеппер

Ответ:

36 см, 54 см²

Объяснение:

Нехай катети дорівнюють 3х і 4х см, тоді за теоремою Піфагора

(3х)²+(4х)²=15²

9х²+16х²=225

25х²=225

х²=9; х=3.

3*3=9 см (один катет)

3*4=12 см (другий катет)

9+12+15=36 см (периметр)

1\2 * 9 * 12 = 54 см² (площа)

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