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

univerkov | September 29, 2021 | education

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?

Let the length of the smaller base be equal to BC = 3 * X cm, then, according to the condition, the length of the larger base is equal to AD = 5 * X.

The middle line of the trapezoid is: KM = (BC + AD) / 2 = (3 * X + 5 * X) / 2 = 4 * X = 4.8 cm.

X = 4.8 / 4 = 1.2 cm.

Then BC = 3 * 1.2 = 3.6 cm.

Answer: The length of the smaller base is 3.6 cm.

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