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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