a.
To complete: The statement of the theorem.
a.
Explanation of Solution
Given:
If the square of the longest side of a
Calculation:
The complete statement of the theorem is:
If the square of the length of the longest side of a triangle is greater than the sum of the square of the lengths of the other two sides then the triangle is an obtuse
Conclusion:
Therefore, the above theorem is converse of Pythagorean Theorem.
b.
To prove:
b.
Explanation of Solution
Given:
Proof:
Draw
In
As in
Again in triangle both the sides j and k.
So,
Again
Replacing the value in the expression,
The length of
Which proves that
Therefore,
Conclusion:
Therefore,
Chapter 8 Solutions
McDougal Littell Jurgensen Geometry: Student Edition Geometry
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