Find the LENGTH OF THE MISSING SIDE in the following right triangle in inches.
1 answer:
You might be interested in
Answer:
We want to find:
Here we can use Stirling's approximation, which says that for large values of n, we get:
Because here we are taking the limit when n tends to infinity, we can use this approximation.
Then we get.
Now we can just simplify this, so we get:
And we can rewrite it as:
The important part here is the exponent, as n tends to infinite, the exponent tends to zero.
Thus:
In this question, it is given that the diagonal of the board is 18 inches long and one side of the board is 12 inches long.
Let the other side is of length b inches .
Now we use pythagorean identity, which is
Here, a = 12 and c=18
Substituting these values, we will get
And the formula of perimeter is
Substituting the values of the two legs, we will get
3x² -x+4=0
We can use quadratic formula
a=3, b= -1, c=4
We can use quadratic formula
a=3, b= -1, c=4