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2 answers:
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Answer:
The length of the third side of given triangle lies between 6.5 and 19.9.
Step-by-step explanation:
The law of cosine is as follows
---------------1
⇒ a and b are the given sides of the triangle and c is the third side, and is the angle between a and b .
In equation 1 , the maximum and minimum values of are 1 and -1.
so the value of c lies in between
⇒ and
=
Given a=13.2 and b=6.7 so the the side lies in between |13.2-6.7| and |13.2+6.7|
so the third side lies between 6.5 and 19.9
Given:
The figure of a right triangle.
To find:
The length of AB.
Solution:
In a right angle triangle,
Using this trigonometric ratio for the given triangle, we get
Therefore, the length of AB is 5 units.