a.
To draw the diagram and to find the length of the hypotenuse.
a.
Answer to Problem 10CE
The length of the hypotenuse is 10 centimeters.
Explanation of Solution
Given:
Right
Formula used:
Pythagoras theorem
Calculation:
We need to draw a right triangle with legs of
So, the diagram will be:
Note: cm represents centimeter.
Where, base
Pythagoras theorem
Putting in the values,
Thus, the new diagram is,
Note: cm represents centimeter.
Conclusion:
Therefore, the diagram is discussed above and the hypotenuse length is
b.
To determine the length of the third side.
b.
Answer to Problem 10CE
The length of the third side is 4.81 centimeters.
Explanation of Solution
Given:
The legs of the triangle are now of lengths
In the previous part the value of the hypotenuse length is
From here, let’s consider
Now reducing the angle to
Using Law of Cosines:
Conclusion:
Therefore, the length of the third side
Chapter 6 Solutions
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning