In triangle ABC, side AB is equal to 27cm, And it is 3 times larger than side BC.

| March 11, 2021 | education

In triangle ABC, side AB is equal to 27cm, And it is 3 times larger than side BC. Find the length of the AC side if the ABC triangle has a length of 61cm.

1. The perimeter of a triangle is equal to the sum of the lengths of all its sides.

P = AB + BC + AC.

The length of the perimeter is specified by the condition and is equal to 61 cm.

2. According to the problem statement, side AB is 27 cm.

Side BC is 3 times smaller than the previous one.

Find BC.

BC = 27/3 = 9 cm.

3. Find the sum of the lengths of two known sides.

AB + BC = 27 + 9 = 36 cm.

4. Calculate the length of the third side AC.

To do this, we determine the difference between the perimeter and the sum of the known sides.

AC = P – (AB + BC) = 61 – 36 = 25 cm – third side.

Answer: The length of the side of the speaker is 25 centimeters.



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