# In a rectangular trapezoid, the acute angle is 45 degrees, the smaller lateral side and the smaller

July 24, 2021 | education

| **In a rectangular trapezoid, the acute angle is 45 degrees, the smaller lateral side and the smaller base by 23 cm find a larger base.**

Since the trapezoid is rectangular, the smaller side is the height of the trapezoid.

Greater base is calculated by the formula:

a = b + c * ctg 45 ° – where b is the smaller base and c is the smaller side, ctg 45 ° = 1

a = 23 + 23 * 1

a = 46 cm.

Answer: the larger base of the trapezoid is a = 46 cm.

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