To identify: The equality of obtuse angle in two
The two obtuse angles formed by the molecules of liquid and ice form of water are not equal.
Given data: The diagram showing distances between atoms in water molecule in liquid and ice forms is shown in Fig.1. Here, to determine the equality of marked obtuse angles x and y .
Method/Formula used:
In a triangle ABC , the angles are determined using Law of Cosines given as:
Calculations:
In the triangle formed by the molecule of liquid form of water the angle x , using Law of Cosine is calculated as:
Substitute 96 for both a and c , and 165 for b in result (1),
In the triangle formed by the molecule of ice form of water the angle y , using Law of Cosine is calculated as:
Substitute 101 for both a and c , and 151.8 for b in result (1),
Thus, the two obtuse angles formed by the molecules of liquid and ice form of water are not equal.
Chapter 9 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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