Question

Периметр прямокутного трикутника дорівнює 120см. Знайти сторони трикутника, якшо вони віднносяться як 3:4:5

Answer 1

Раз  стороны  треугольника  относятся  как   3:4:5  следует,  что  этот  треугольник

египетский  то  есть  прямоугольный.  Пусть   коэффициент  пропорциональности

будет  равен    х.     Тогда  его   стороны  будут  равны   а  =  3х,    в   =   4х,     с   =   5х.

Р   =   а + в + с

120  =   3х + 4х + 5х

12х  =  120

 х      =   120/12

х  =  10

а  =  3*10  =  30(см)

в  =  4*10  =  40(см)

с  =  5*10  =  50(см)

 

Ответ.        30см,      40см,      50см.

Answer 2

задание решено, см. вложение. Ответ: 30,40,50

Answer 3

Finding the Sides of a Right-Angled Triangle

To find the sides of a right-angled triangle when the perimeter is given and the sides are in the ratio of 3:4:5, we can use the following steps:

1. Understand the Perimeter: - The perimeter of a triangle is the sum of the lengths of its three sides. In this case, the perimeter is given as 120 cm.

2. Using the Ratio of Sides: - The sides of the triangle are in the ratio of 3:4:5. This means that if we denote the sides as 3x, 4x, and 5x, the actual lengths of the sides will be 3x, 4x, and 5x, respectively.

3. Calculating the Lengths: - To find the value of x, we can add the three sides together and set the sum equal to the given perimeter, which is 120 cm.

4. Solving for x: - Once we find the value of x, we can then multiply it by 3, 4, and 5 to find the actual lengths of the sides.

Let's proceed with the calculations to find the lengths of the sides.

Calculations

Let's denote the sides of the triangle as 3x, 4x, and 5x.

The perimeter of the triangle is given as 120 cm, so we have: 3x + 4x + 5x = 120

Combining like terms: 12x = 120

Solving for x: x = 120 / 12 x = 10

Now that we have the value of x, we can find the lengths of the sides: - The first side: 3x = 3 * 10 = 30 cm - The second side: 4x = 4 * 10 = 40 cm - The third side: 5x = 5 * 10 = 50 cm

Conclusion

Therefore, the lengths of the sides of the right-angled triangle, given the perimeter of 120 cm and the sides in the ratio of 3:4:5, are: - The first side is 30 cm - The second side is 40 cm - The third side is 50 cm