Given an isosceles trapezoid ABCD, in which the larger base AD = 6cm, and the smaller base BC = 4cm.

univerkov | September 10, 2021 | education

Given an isosceles trapezoid ABCD, in which the larger base AD = 6cm, and the smaller base BC = 4cm. The heights BB₁ and CC₁ are drawn in this trapezium. Find the lengths AB₁ and C₁D.

The height of an isosceles trapezoid, drawn from the top of an obtuse angle, divides the larger base into two segments, the smaller of which is equal to the half-difference of the bases, and the larger half-sum.

AB1 = (AD – BC) / 2 = 2/2 = 1 cm.

Since the trapezoid is isosceles, then C1D = AB1 = 1 cm.

Answer: C1D = AB1 = 1 cm.

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