Write down the expression for the perimeter of the triangle ABC, if AB = a cm, AC is 2 times larger

Write down the expression for the perimeter of the triangle ABC, if AB = a cm, AC is 2 times larger, and BC is 15 cm larger than AB. Make an equation and find the sides of the ABC triangle, knowing that its perimeter is 95 cm.

1. The perimeter of a triangle is the sum of the lengths of all sides of this triangle;
2. Let us express the AC side:
a * 2 = 2a (cm);
3. Let us express the BC side:
(a + 15) cm;
4. Let’s write the expression for the perimeter for a given triangle:
a + 2a + a + 15 = P;
4a + 15 = P;
5. Find the side AB:
4a + 15 = 95;
4a = 80
a = 20 (cm);
6. Let’s define the AC side:
2a = 20 * 2 = 40 (cm);
7. Let’s calculate the side BC:
a + 15 = 20 + 15 = 35 (cm);
Answer: AB, AC and BC are respectively 20, 40 and 35 centimeters.