# In triangle ABC, side AB is 64 cm. This side is 12 cm shorter than side BC and 16 cm longer than side AC.

In triangle ABC, side AB is 64 cm. This side is 12 cm shorter than side BC and 16 cm longer than side AC. Calculate the perimeter of the triangle. Determine the perimeter of triangle ABC if the length of each side of it is doubled; reduce by 2 times.

1. If the AB side is shorter than the BC side, then the BC side is longer than AB:

64 + 12 = 76 (cm).

2. If the AB side is longer than the AC side, then the AC side is shorter than AB:

64 – 16 = 48 (cm).

3. Let’s calculate the perimeter of the triangle, which is equal to the sum of the lengths of the sides:

76 + 64 + 48 = 188 (cm).

4. If each side of this is doubled, then the perimeter will double:

76 x 2 + 64 x 2 + 48 x 2 = 376 (cm).

5. And vice versa, if each side is halved, then the perimeter will be halved:

76/2 + 64/2 + 48/2 = 94 (cm).

Answer: the perimeter of the triangle is 188 cm, when each side is doubled, the perimeter will be 376 cm, when each side is halved, the perimeter will be 94 cm.

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