side lengths a and b of a right angle triangle are measured to be (5±0.1) cm and (12±0.2) cm, where ±0.1 and ±0.2 represent the size of the errors made in each measurement.   Suppose we use values 5cm and 12cm as the side lengths. Use linear approximation to estimate the maximum error in area an error in hypotenuse length.

Mathematics For Machine Technology
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Chapter22: Introduction To Percents
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Problem 1A
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side lengths a and b of a right angle triangle are measured to be (5±0.1) cm and (12±0.2) cm, where ±0.1 and ±0.2 represent the size of the errors made in each measurement.

 

Suppose we use values 5cm and 12cm as the side lengths. Use linear approximation to estimate the maximum error in area an error in hypotenuse length.

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