Which is the length of the third slide of the right triangle
1 answer:
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Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
Remember that
An isosceles triangle has two equal sides and two equal interior angles
In the isosceles triangle ABC
Applying the Pythagorean Theorem
Let
b ----> the length of the tents base
simplify
FYI, that L in the denominator is factorial.
This is some pretty serious stuff for high school.
My inclination is that the answer is A, which is the definition of <em>e. </em> Let's see if we can show this.
Let's write
Let's expand this with the binomial expansion
Let's focus on when n is really big and on the ks that are relatively small, which make up the bulk of the sum as the terms get small rapidly.
Then that numerator n(n-1)···(n-k+1) ≈ n^k as all the factors are about n.
OK, we showed for large n this is approximately true, and it will be exactly true in the limit, so we choose
Answer: A