Question

Периметр равнобедренного треугольника АВС с основанием ВС равен 51.5сма пиреметр разностороннего треугольника ВСD равен 50.7Найдите сторону АС помогите пожалуйста решить

Answer 1

Решение в фото, ответ 17.3

Answer 2

Perimeter of an isosceles triangle ABC with base BC is 51.5 cm, and the perimeter of a scalene triangle BCD is 50.7 cm. Find the length of side AC.

To find the length of side AC, we can use the fact that the perimeter of a triangle is the sum of the lengths of its sides.

Let's denote the length of side AB as x, and the length of side BC as y. Since triangle ABC is isosceles, we know that side AB is equal to side AC.

The perimeter of triangle ABC is given as 51.5 cm. Therefore, we can write the equation:

x + y + x = 51.5

Simplifying the equation, we get:

2x + y = 51.5

Similarly, let's denote the lengths of sides BC, CD, and BD in triangle BCD as a, b, and c, respectively.

The perimeter of triangle BCD is given as 50.7 cm. Therefore, we can write the equation:

a + b + c = 50.7

Now, we need to find the length of side AC. Since triangle ABC and triangle BCD share side BC, we can equate the lengths of BC in both triangles:

y = a

Substituting this into the equation 2x + y = 51.5, we get:

2x + a = 51.5

Now, we have two equations:

2x + a = 51.5 (Equation 1) a + b + c = 50.7 (Equation 2)

To solve these equations, we need one more equation. Let's use the fact that the perimeter of a triangle is the sum of the lengths of its sides:

x + y + a = a + b + c

Simplifying this equation, we get:

x + y = b + c

Substituting the value of y from Equation 1, we get:

x + a = b + c (Equation 3)

Now, we have three equations:

2x + a = 51.5 (Equation 1) a + b + c = 50.7 (Equation 2) x + a = b + c (Equation 3)

We can solve these equations simultaneously to find the values of x, a, b, and c, which will give us the length of side AC.

Please note that without the specific values of a, b, and c, it is not possible to determine the exact length of side AC.