# The perimeter of the triangle ABC is 62 cm BC = 17 cm ABC find the length of the side AB

August 18, 2021 | education

| 1. The perimeter of a triangle is equal to the sum of all sides, and our two unknown sides are equal, so AB = AC = x.

2. P = AB + AC + BC.

3. P = 2x + BC,

4. Substitute the values given in the condition: 62 = 2x + 17,

5. Move the term from x to the left side, and free terms to the right: 2x = 62 – 17,

6.2x = 45,

7. Divide both sides of the equation by 2: x = 22.5, so AB = 22.5.

Answer: AB = 22.5.

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