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Консультация № 143391
08.09.2008, 19:00
0.00 руб.
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4
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1. Высота, основание и сумма боковых сторон треугольника равны соответственно 24, 28 и 56 см. Найти боковые стороны.
Обсуждение
Неизвестный
08.09.2008, 19:19
общий
Ни здрасте тебе, ни до свиданья... И Вы думаете, что после такой формулировки эксперты захотят отвечать?
Надо быть более уважительным к людям от которых Вы ждете помощи!
Надо быть более уважительным к людям от которых Вы ждете помощи!
Неизвестный
09.09.2008, 07:07
общий
Доброе здоровьице дорогой гхостик!Прошу помочь с задачкой(а лучше и с другими сколько палучитсо).Не здарсте ни досвидания не написал ибо уж очень торопилсо-опаздывал.Заране спасибо
Неизвестный
09.09.2008, 10:01
общий
Решить то я эту задачу могу, но лучше если бы Вы сказали какие трудности у Вас возникли при решении.
Неизвестный
12.09.2008, 08:17
общий
это ответ
Здравствуйте, Бортников Артём Михайлович!
В Δ ABC AB-основание, AE- высота
Площадь SΔ=0,5·AE·AB=0,5·24·28=336см2
Площадь тр-ка по формуле Герона: SΔ=√(p(p-a)(p-b)(p-c)),
где p-полупериметр тр-ка, p=0,5(a+b+c);
a,b,c-стороны тр-ка AB, BC, CA соотвественно,тогда a+c=56, b=28
p=0,5(28+56)=42см
SΔ=√(42(42-a)(42-28)(42-c))
[√(42·14(42-a)(42-c))]2=[336]2 возводим в квадрат обе части
588(42-a)(42-c)=112896 |:588, a-56=-c
(42-a)(42+a-56)=192
42a-588-a2+14a=192 |·(-1)
a2-56a+780=0
Д=(-56)-4·1·780=16, ±√Д=±4
a=(4+56)/2=30см, c=(-4+56)/2=26см
Ответ: боковые стороны тр-ка равны 30см и 26см
Приложение:
тр-к–треугольник
ax2+bx+c=0
Д=b2-4ac– дискременант квдратного уравния
X1,2=(±√Д-b)/2a–корниного уравния
"[336]2" 336 в квдрате
В Δ ABC AB-основание, AE- высота
Площадь SΔ=0,5·AE·AB=0,5·24·28=336см2
Площадь тр-ка по формуле Герона: SΔ=√(p(p-a)(p-b)(p-c)),
где p-полупериметр тр-ка, p=0,5(a+b+c);
a,b,c-стороны тр-ка AB, BC, CA соотвественно,тогда a+c=56, b=28
p=0,5(28+56)=42см
SΔ=√(42(42-a)(42-28)(42-c))
[√(42·14(42-a)(42-c))]2=[336]2 возводим в квадрат обе части
588(42-a)(42-c)=112896 |:588, a-56=-c
(42-a)(42+a-56)=192
42a-588-a2+14a=192 |·(-1)
a2-56a+780=0
Д=(-56)-4·1·780=16, ±√Д=±4
a=(4+56)/2=30см, c=(-4+56)/2=26см
Ответ: боковые стороны тр-ка равны 30см и 26см
Приложение:
тр-к–треугольник
ax2+bx+c=0
Д=b2-4ac– дискременант квдратного уравния
X1,2=(±√Д-b)/2a–корниного уравния
"[336]2" 336 в квдрате
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