In a trapezoid, the length of the midline is 4.8 cm, and the base ratio is 3: 5. What is the length

In a trapezoid, the length of the midline is 4.8 cm, and the base ratio is 3: 5. What is the length of the smaller base of this trapezoid?

1) Let x be one part, then the smaller base of the trapezoid is 3 * x centimeters, and the larger base is 5 * x centimeters. We know that the middle line of a trapezoid is equal to half the sum of the bases and is equal to 4.8 centimeters. Let’s make the equation:
(3 * x + 5 * x): 2 = 4.8;
x * (3 + 5) = 9.6;
x * 8 = 9.6;
x = 9.6: 8;
x = 1.2 centimeters one piece;
2) 1.2 * 3 = 3.6 centimeters length of the smaller base of the trapezoid.
Answer: 3.6 centimeters.



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