# In an isosceles trapezoid, the height divides the larger base into segments equal to 5 and 12 cm.

June 27, 2021 | education

| **In an isosceles trapezoid, the height divides the larger base into segments equal to 5 and 12 cm. Find the middle line of the trapezoid.**

1. Let’s designate the height indicated in the condition of the problem BK. It divides the larger base into two segments AK = 5 cm and KD = 12 cm. From the top of C we draw one more height CM.

DM = AK = 5 centimeters.

2. We calculate the length of the lower base of blood pressure:

5 + 12 = 17 centimeters.

3. Calculate the length of the upper base of the aircraft:

BC = KM = 12 – 5 = 7 centimeters.

4. The length of the midline of the trapezoid is equal to half the sum of the bases:

(17 + 7) / 2 = 24/2 = 12 centimeters.

Answer: the length of the middle line of the AVSD trapezoid is 12 centimeters.

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