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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