The perimeter of the triangle is 50 cm. One of its sides is 5 cm shorter than the other and 2 times

| March 29, 2021 | education

The perimeter of the triangle is 50 cm. One of its sides is 5 cm shorter than the other and 2 times larger than the third side. Find the sides of the triangle.

The solution of the problem:
We will solve this problem using an equation with one unknown.
1. Let’s denote the third side of the triangle by x centimeters.
2. Find out what the first side of the triangle is.
2 * x = 2x centimeters.
3. Find out what is the second side of the triangle.
(2x-5) centimeters.
4. Let’s compose and solve the equation.
x + 2x + (2x-5) = 50.
x + 2x + 2x-5 = 50.
x + 2x + 2x = 50 + 5.
5x = 55.
x = 55/5.
x = 11.
5. The third side of the triangle is x = 11 cm.
6. The first side is 2x = 2 * 11 = 22 cm.
7. Second side 2x-5 = 2 * 11-5 = 17 cm.
Answer: One side = 22 cm. The second = 17 cm. The third = 11 cm.



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