The length of the first side of the triangle is 34 cm, the length of the second side is 17 cm
The length of the first side of the triangle is 34 cm, the length of the second side is 17 cm, and the third side is 24 cm shorter than the first and second sides. Find the length of the third side and the perimeter of the triangle.
First, we find the sum of the lengths of the first and second sides of the triangle:
1) 34 + 17 = 51 (cm) – the length of the first and second sides together;
By the condition of the problem, it is set that the third side is 24 cm shorter than the first and second sides together, we find the length of the third side of the triangle:
2) 51 – 24 = 27 (cm) – the length of the third side of the triangle;
The perimeter is the sum of all sides. Find the perimeter of the triangle:
3) 27 + 34 + 17 = 78 (cm) – the perimeter of the triangle.
Answer: 27 cm is the length of the third side of the triangle, 78 cm is the perimeter of the triangle.