Question

Запиши свой вопрос здесь (кратко и понятно - для отличного ответа)У двух равнобедренных треугольников углы при вершине равны.основание первого треугольника равно 8 см,а высота,проведенная к ней,-3 см.найти стороны другого треугольника,если его периметр равен 54 см

Answer 1

Сторона первого треугольника 5см=√(3²+(8/2)²)
Р=8+5*2=18см
периметр второго треугольника в 3 раза больше 54:18
значит каждая сторона второго треугольника в 3 раза больше
8*3=24 см
5*3=15 см
ответ: 24см; 15см; 15см

Answer 2

Problem Statement

У двух равнобедренных треугольников углы при вершине равны. Основание первого треугольника равно 8 см, а высота, проведенная к ней, равна -3 см. Найти стороны другого треугольника, если его периметр равен 54 см.

Solution

To solve this problem, we can use the properties of similar triangles. Since the two triangles are similar, their corresponding sides are proportional. Let's denote the sides of the first triangle as follows: - The base of the first triangle: a = 8 cm - The height of the first triangle: h = -3 cm

Let's denote the sides of the second triangle as follows: - The base of the second triangle: b - The height of the second triangle: k

We know that the perimeter of the second triangle is 54 cm. The perimeter of a triangle is the sum of its three sides. Therefore, we can write the equation:

b + b + k = 54

Since the two triangles are similar, the ratio of the corresponding sides is the same. We can set up a proportion using the base and height of the two triangles:

a / h = b / k

Substituting the given values, we have:

8 / -3 = b / k

Simplifying the equation, we get:

-8/3 = b / k

Now, we have two equations: 1. b + b + k = 54 2. -8/3 = b / k

We can solve these equations simultaneously to find the values of b and k.

Let's solve the equations:

From equation 2, we can express b in terms of k:

b = (-8/3)k

Substituting this value in equation 1, we have:

(-8/3)k + (-8/3)k + k = 54

Simplifying the equation, we get:

(-16/3)k + k = 54

Combining like terms, we have:

(-16/3 + 3/3)k = 54

Simplifying further, we get:

(-13/3)k = 54

To solve for k, we can multiply both sides of the equation by (-3/13):

k = (54 * (-3/13))

Calculating this, we find:

k ≈ -12.46 cm

Now, we can substitute the value of k back into equation 2 to find the value of b:

-8/3 = b / (-12.46)

Simplifying the equation, we get:

b ≈ -32.99 cm

Therefore, the sides of the second triangle are approximately b ≈ -32.99 cm and k ≈ -12.46 cm.

Please note that negative values for side lengths do not make physical sense in this context. It is possible that there may be an error in the given information or calculations.