The length of the side AB of the triangle is 12 cm more than the length of the side of the BC. If the length of AB

| February 17, 2021 | education

The length of the side AB of the triangle is 12 cm more than the length of the side of the BC. If the length of AB is increased by 13 cm and the length of the BC is increased by 6 times, then you will get equal segments. Find the length of the side AB.

1) Let the length of the side BC be x cm, then (x + 12) cm is the length of the side AB.

2) Let’s increase the length of the AB side by 13 cm and get:

x + 12 + 13 = x + 25 (cm).

3) Let’s increase the length of the BC side by 6 times:

6x (cm).

4) By the condition of the problem, the obtained segments are equal:

x + 25 = 6x.

5) Let’s solve the equation:

25 = 6x – x;

25 = 5x;

x = 25: 5;

x = 5.

6) Having solved the equation, we find that x = 5 cm – the length of the BC side.

7) We calculate the length of the AB side, increasing the BC side by 12 cm:

5 + 12 = 17 cm.

Answer: the length of the AB side is 17 cm.



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