The perimeter of the triangle ABC is 64 cm, the AB line is 7 cm less
July 24, 2021 | education
| The perimeter of the triangle ABC is 64 cm, the AB line is 7 cm less than the AC side, but 12 cm larger than the BC side. Find the length of each side.
The perimeter of a triangle is the sum of the lengths of all its sides. Let’s write expressions for the sides:
AB = AC – 7 or
AC = AB + 7,
BC = AB – 12.
Let’s sum up all the sides of the triangle, expressed in terms of AB:
AB + AB + 7 + AB – 12 = 64.
Let us simplify this equation as well:
3 * AB – 5 = 64;
3 * AB = 64 + 5;
3 * AB = 69;
AB = 23 cm.
Let’s find the rest of the sides:
AC = AB + 7 = 23 + 7 = 30 cm,
BC = AB – 12 = 11 cm.
Answer: AB = 23 cm, AC = 30 cm, BC = 11 cm.
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