# One side of the triangle is half the size of the other and 3 cm less than the third.

July 25, 2021 | education

| **One side of the triangle is half the size of the other and 3 cm less than the third. Find the sides of a triangle if its perimeter is 23 cm.**

1. Let’s denote the length of the first side of the triangle through x cm.

2. Determine the length of the second side of the triangle:

2 * x = 2x cm.

3. Find out what the length of the third side of the triangle is equal to:

(x + 3) cm.

4. Let’s compose and solve the equation:

2x + x + (x + 3) = 23;

2x + x + x + 3 = 23;

4x + 3 = 23;

4x = 23 – 3;

4x = 20;

x = 20: 4;

x = 5.

5. The length of the first side of the triangle is 5 cm.

6. How long is the second side of the triangle?

2 * 5 = 10 (cm).

7. What is the length of the third side of the triangle?

5 + 3 = 8 (cm).

Answer: the sides of the triangle are 5 cm, 10 cm, 8 cm.

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