The two shorter sides of an obtuse triangle measure 15 inch and 3 ft describe the length of the longest side
1 answer:
Answer:
The length of the longest side are all real numbers greater than 39 inches and less than 51 inches
Step-by-step explanation:
we know that
In an obtuse triangle
where
c is the length of the longest side
a and b are the two shorter sides
Convert the dimensions in inches
substitute the values
Applying the triangle inequality Theorem
1)
2)
therefore
The length of the longest side belong to the interval
All real numbers greater than 39 inches and less than 51 inches
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Answer:
The box-and-whisker plot of this distribution is presented in the attached image to this solution.
Step-by-step explanation:
A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.
A box and whiskers plot shows 5 major information about the distribution of data. It shows:
- The maximum variable.
- The minimum variable.
- The Median.
- The first quartile.
- The third quartile.
Further info such as the range and Inter quartile range can then be obtained from this 5-number summary.
The elements of the box plot are described thus;
The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.
The horizontal line inside the box is the median.
The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.
Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.
The required boxplot for this question is given in the attached image to this solution.
The median for the boxplot isn't provided, but it was assumed to be midway between the first and third quartile.
Hope this Helps!!!
