Find the smaller base of an isosceles trapezoid if its larger base is 32 cm, the side is 20 cm
| September 3, 2021 | education
Find the smaller base of an isosceles trapezoid if its larger base is 32 cm, the side is 20 cm, and one of the corners is 60 degrees.
The projection of the side to the base will be:
20 * cos (60) = 20 * 1/2 = 10 cm.
Since the trapezoid is isosceles, the projection of the other side to the base will also be 10 cm.
Then the lesser base will be:
32 – 10 – 10 = 12 cm.
Answer: the required base is 12 cm.
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