One side of the triangle is 5 times smaller than the second and 25 cm smaller than the third. Find the sides of the triangle if its perimeter is 74 cm.
1. Take as x the length of the first side of the triangle.
2. The second side of the triangle is 5x cm.
3. The third side of the triangle (x + 25) cm.
4. We compose the equation and solve it:
x + 5x + x + 25 = 74;
7x = 49;
x = 7 cm.
The second side of the triangle is 5 x 7 = 35 cm.
The third side of the triangle is 7 + 25 = 32 cm.
Answer: the first side of the triangle is 7 cm, the second is 35 cm, the third is 32 cm.
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