Question

периметр трикутника дорівнює 40 см а довжина його сторін відноситься як 4:7:9хнайди його довжину сторін трикутника​

Answer 1

Ответ:  8см,  14см,  18см.  

Пошаговое объяснение:

"периметр треугольника равен 40 см а длина его сторон относится как 4:7:9  найди  длину сторон треугольника​"

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Решение. Пусть одна сторона равна 4х см, другая   -   7х см, а третья  --  9х см.

Периметр равен

4х+7х+9х=40.

20х=40.

х=2.

1 сторона равна 4х=4*2=8  см.

2 сторона равна 7х = 7*2=14 см.

3 сторона равна 9х=9*2=18 см.

Проверим:

8+14+18=40 см.  Всё верно!

Answer 2

Calculating the Lengths of the Triangle's Sides

To find the lengths of the sides of the triangle, we can use the fact that the perimeter of the triangle is 40 cm and the lengths of its sides are in the ratio of 4:7:9.

Let's denote the lengths of the sides as 4x, 7x, and 9x, where x is a common multiplier.

The perimeter of the triangle is the sum of the lengths of its sides, so we can write the equation:

4x + 7x + 9x = 40

Solving for x will give us the value we need to find the lengths of the sides.

Solving for x

Adding the terms on the left-hand side of the equation gives us:

20x = 40

Dividing both sides by 20, we find:

x = 2

Finding the Lengths of the Sides

Now that we have the value of x, we can find the lengths of the sides by substituting x back into the expressions for the side lengths:

- The length of the first side is 4x = 4 * 2 = 8 cm. - The length of the second side is 7x = 7 * 2 = 14 cm. - The length of the third side is 9x = 9 * 2 = 18 cm.

So, the lengths of the sides of the triangle are 8 cm, 14 cm, and 18 cm.