Question

ПЕРИМЕТР ТРИКУТНИКА ДОРІВНЮЄ 75 СМ.ДОВЖИНА ПЕРШОЇ СТОРОНИ ДОРІВНЮЄ 27СМ,А ДОВЖИНА ДРУГОЇ-НА 13СМ БІЛЬША.ЗНАЙДИ ДОВЖИНУ ТРЕТЬОЇ СТОРОНИ

Answer 1

 27см +13см =40см довжина другои сторони
27см +40см =67см довжина2 сторон
75см-67см =8см довжина 3сторони

Answer 2

Finding the Length of the Third Side of a Triangle

To find the length of the third side of a triangle when the perimeter is 75 cm, and the lengths of the first and second sides are 27 cm and 13 cm longer than the first side, respectively, we can use the following approach:

1. Define the Problem: We are given the perimeter of a triangle and the lengths of two sides, with one being 13 cm longer than the other. We need to find the length of the third side.

2. Formulate the Solution: Let's denote the length of the first side as x cm. Then, the length of the second side is (x + 13) cm. We know that the perimeter of the triangle is 75 cm, so we can set up the equation: x + (x + 13) + third side = 75.

3. Solve the Equation: By solving the equation, we can find the value of x, which represents the length of the first side. Then, we can calculate the length of the third side.

4. Calculate the Length of the Third Side: Once we have the value of x, we can find the length of the third side by substituting the values into the equation.

Calculation

Let's solve the equation to find the length of the third side:

x + (x + 13) + third side = 75

Simplify the equation: 2x + 13 + third side = 75 2x + third side = 75 - 13 2x + third side = 62 third side = 62 - 2x

Now, we need to find the value of x to calculate the length of the third side.

Using the Given Information

We know that the perimeter of the triangle is 75 cm, and the length of the first side is 27 cm. Let's use this information to find the length of the third side.

The length of the first side (x) = 27 cm

Substitute the value of x into the equation: third side = 62 - 2(27) third side = 62 - 54 third side = 8 cm

Conclusion

The length of the third side of the triangle is 8 cm.