The first side of the triangle is 4 times larger than the second, and the third is 3 cm smaller than the first side.

The first side of the triangle is 4 times larger than the second, and the third is 3 cm smaller than the first side. Find the larger side of the triangle, the perimeter of which is 60 cm.

1. Determine the length of the second side of the triangle. Let the second side of the triangle be equal to a cm, then the first side of the triangle will be equal to 4a cm, the third side of the triangle will be equal to (4a – 3) cm.We make the equation:
a + 4a + 4a – 3 = 60;
9a = 60 + 3;
9a = 63;
a = 63: 9;
a = 7 cm;
2. Determine the first side of the triangle (it is also the largest side of the triangle):
7 x 4 = 28 cm.
Answer: The length of the longest side of the triangle is 28 centimeters.