Question

Периметр треугольника АВС равен 24 см.Длина стороны АВ составляет 35%, а длина стороны ВС - 25% периметра треугольника.Найдите длину стороны АС. пожалуйста помогите!!

Answer 1

24*0,35=8,4 см - АВ
24*0,25=6 см - ВС
8,4+6=14,4 см - АВ+ВС
24-14,4=9,6 см
Ответ: длина стороны АС равна 9,6 см.

Answer 2

Perimeter of Triangle ABC

To find the length of side AC of triangle ABC, we need to use the given information about the lengths of sides AB and BC and the perimeter of the triangle.

Let's denote the length of side AB as a and the length of side BC as b. According to the problem statement, side AB is 35% of the perimeter, and side BC is 25% of the perimeter.

We can express this mathematically as:

a = 0.35P (Equation 1)

b = 0.25P (Equation 2)

where P is the perimeter of triangle ABC.

The perimeter of a triangle is the sum of the lengths of its sides. Therefore, we can express the perimeter as:

P = a + b + c (Equation 3)

where c is the length of side AC.

We are given that the perimeter of triangle ABC is 24 cm. Substituting this value into Equation 3, we get:

24 = a + b + c (Equation 4)

Now, let's substitute the values of a and b from Equations 1 and 2 into Equation 4:

24 = 0.35P + 0.25P + c

Simplifying the equation:

24 = 0.6P + c

Since we know that P = 24, we can substitute this value into the equation:

24 = 0.6(24) + c

Simplifying further:

24 = 14.4 + c

Subtracting 14.4 from both sides:

9.6 = c

Therefore, the length of side AC is 9.6 cm.

Answer:

The length of side AC of triangle ABC is 9.6 cm.