Find the bases of an isosceles trapezoid if their ratio is 1: 2 side-10 and the perimeter is 80.

univerkov | June 1, 2021 | education

1. The tops of the trapezoid – A, B, C, D. AB = CD = 10 units. Perimeter (P) = 80 units. BC: AD = 1: 2.

2. By the condition of the BC problem: AD = 1: 2. Therefore, AD = 2BC.

3. P = AB + CD + BC + AD = 80 units of measurement.

ВС + АD = 80 – 10 – 10 = 60 units of measurement. Replace AD in this expression with 2BC:

ВС + 2ВС = 60 units of measurement.

3BC = 60 units.

BC = 20 units.

AD = 2BC = 2 x 20 = 40 units.

Answer: BC = 20 units of measurement. AD = 40 units.

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