Find the perimeter of triangle ABC if AB = 2/15 meters, BC is 4 times more than AB, and AC is 1/15 meter less than BC.
March 15, 2021 | education
| Let’s find the length of the side BC of the given triangle ABC.
According to the condition of the problem, the length of the side AB of this triangle is 2/15 meters, and the side BC is 4 times larger than the side AB, therefore, the length of the side BC is:
| Sun | = | AB | * 4 = (2/15) * 4 = 8/15 m.
Find the length of the side AC of this triangle ABC.
According to the condition of the problem, the AC side is 1/15 meter less than the BC side, therefore, the AC side length is:
| AU | = | Sun | – 1/15 = 8/15 – 1/15 = 7/15 m.
Find the perimeter of triangle ABC:
| AB | + | Sun | + | AC | = 2/15 + 8/15 + 7/15 = 17/15 m.
Answer: The perimeter of triangle ABC is 17/15 m.
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