Question

В треугольнике одна сторона 36 см,другая на 4 см меньше, а третья на х см больше первой стороны.Найдите периметр треугольника.Составте выражение для решения задачи и найдите его значение при х=4,х=8

Answer 1

36+(36-4)+(36+Х) (см)
Если Х=4, то 36+(36-4)+(36+4)=108(см)
Если Х=8, то 36+(36-4)+(36+8)=112(см)

Answer 2

Understanding the problem

We are given a triangle with one side measuring 36 cm, another side which is 4 cm less than the first side, and a third side which is x cm longer than the first side. We need to find the perimeter of the triangle.

Approach to solve the problem

To find the perimeter of a triangle, we need to add up the lengths of all three sides. We can represent the lengths of the sides using variables and then substitute the given values to find the perimeter.

Let's start by defining the variables: - Let the first side be a (given as 36 cm) - The second side is 4 cm less than the first side, so it can be represented as a - 4 - The third side is x cm longer than the first side, so it can be represented as a + x

Now, we can write the expression for the perimeter of the triangle as: Perimeter = a + (a - 4) + (a + x)

To find the value of the perimeter, we can substitute the given values: - For x = 4: a = 36 cm, x = 4 cm - For x = 8: a = 36 cm, x = 8 cm

Let's calculate the perimeter for both cases.

Calculating the perimeter

For x = 4: Perimeter = a + (a - 4) + (a + 4) = 36 + (36 - 4) + (36 + 4) = 36 + 32 + 40 = 108 cm

For x = 8: Perimeter = a + (a - 4) + (a + 8) = 36 + (36 - 4) + (36 + 8) = 36 + 32 + 44 = 112 cm

So, the perimeter of the triangle is 108 cm when x = 4 and 112 cm when x = 8.

Summary

In this problem, we were given a triangle with one side measuring 36 cm, another side which is 4 cm less than the first side, and a third side which is x cm longer than the first side. We calculated the perimeter of the triangle by adding up the lengths of all three sides. The perimeter was found to be 108 cm when x = 4 and 112 cm when x = 8.