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The problem states: "The perimeter of a triangle is 165 cm, and its sides are in the ratio 3:7:5. Find the lengths of the sides of the triangle." To solve this, let the sides of the triangle be \(3x\), \(7x\), and \(5x\). The perimeter is the sum of the sides, so: \[ 3x + 7x + 5x = 165 \] Simplify: \[ 15x = 165 \] Solve for \(x\): \[ x = 11 \] Now, find the lengths of each side: - First side: \(3x = 3 \times 11 = 33\) cm - Second side: \(7x = 7 \times 11 = 77\) cm - Third side: \(5x = 5 \times 11 = 55\) cm The sides of the triangle are 33 cm, 77 cm, and 55 cm.