One side of the triangle is 9.6 cm long, the other side is 2.4 cm longer than the first, and the third side is 0.5

One side of the triangle is 9.6 cm long, the other side is 2.4 cm longer than the first, and the third side is 0.5 times the sum of the lengths of the other two sides. Find the perimeter of the triangle.

Find the length of the second side by adding 2.4 cm to the length of the first side – 9.6 cm:

9.6 cm + 2.4 cm = 12 cm.

The length of the second side is 12 cm.

Let’s calculate the sum of these parties by adding their values:

9.6 cm + 12 cm = 21.6 cm.

Find half of this value, thus finding the third side:

21.6 cm: 2 = 10.8 cm.

Let’s calculate the perimeter of the triangle using the formula:

P = a + b + c, where a, b, c are the sides of the triangle.

Let’s substitute our values:

P = 9.6 cm + 12 cm + 10.8 cm = 32.4 cm.

Answer: The perimeter of the triangle is 32.4 cm.



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