When a number is decreased by 10 % of itself, the result is 153. What is the number?
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Answer:
See Below.
Step-by-step explanation:
We want to show that the Law of Cosines simplifies to the Pythagorean Theorem when the contained angle between the two known sides is 90°.
The Law of Cosines is given by:
Where <em>a </em>and <em>b</em> are the two known sides, and C is the angle between them.
If C is 90° then we will have:
Recall that the cos(90°)=0. Hence:
Simplify:
So, we acquire the Pythagorean Theorem as desired.