HELPPPP MEEEEEEEE ! Can you have a right triangle where the lengths of the legs are whole numbers and the length of the hypotenu
se is 23? Explain.
2 answers:
Answer:
The answer is NO
Step-by-step explanation:
Firstly, any <em>right triangle</em> has to obey the Pythagorean Theorem Formula.
This theorem says:
If a, b are two sides of the triangle and c is the hypotenuse, the formule is:
There are few combinations of whole numbers that satisfy the equation. They are called "Pythagorean Triples". I have attached an image that it shows these combinations. You can choose whatever combination and its multiples satisfy the equation as well.
Finally, if you see the image, there are not combination where the hypotenuse is 23.
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Answer:
Step-by-step explanation:
Given that there is a function of x,
Let us find first and second derivative for f(x)
When f'(x) =0 we have tanx = 1 and hence
a) f'(x) >0 for I and III quadrant
Hence increasing in
and decreasing in
Hence f has a maxima at x = pi/4 and minima at x = 3pi/4
b) Maximum value =
Minimum value =
c)
f"(x) =0 gives tanx =-1
are points of inflection.
concave up in (3pi/4,7pi/4)
and concave down in (0,3pi/4)U(7pi/4,2pi)