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Answer:
4.01 cm to the nearest hundredth.
Step-by-step explanation:
Consider the triangle formed by the perpendicular line drawn from one endpoint of the shorter base to the longer base.
cos 37 = x / 5
x = 5 cos 37
x = 3.9932 cm
The shorter base = longer base - 2(3.9932)
= 12 - 7.9864
= 4.0136
The shorter base is 4.0136.
Given that,
- The longer base of isosceles trapezoid is 12 cm.
- The side is 5 cm.
- The acute angle is 37º.
Based on the above information, the calculation is as follows:
[tex]cos 37 = x \div 5[/tex]
x = 5 cos 37
x = 3.9932 cm
Now
The shorter base = longer base - 2(3.9932)
= 12 - 7.9864
= 4.0136
Therefore we can conclude that the shorter base is 4.0136.
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