The perimeter of the triangle is 42 cm and the length of one of the sides is 10 7/15 cm, which is 2 5/6 cm less

| March 29, 2021 | education

The perimeter of the triangle is 42 cm and the length of one of the sides is 10 7/15 cm, which is 2 5/6 cm less than the length of the second. Find the length of the third side of the triangle.

Find the length of the second side of this triangle.
According to the condition of the problem, the length of one of the sides of this triangle is 10 7/15 cm, which is 2 5/6 cm less than the length of the second side of this triangle.
Therefore, the length of the second side of this triangle is 2 5/6 cm longer than the length of the first side of this triangle and is:
10 7/15 + 2 5/6 = 157/15 + 17/6 = 133/10 cm.
Find the length of the third side of this triangle.
Let us denote it by x.
According to the condition of the problem, the perimeter of this triangle is 42 cm, therefore, we can draw up the following equation:
157/15 + 133/10 + x = 42.
We solve the resulting equation:
713/30 + x = 42;
x = 42 – 713/30;
x = 547/30 = 18 7/30 cm.
Answer: the length of the third side of this triangle is 18 7/30 cm.



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