Answer:
D.30,40,50
Step-by-step explanation:
A.4,5,6
B.2,3,4
C.10,20,30
D.30,40,50
The Pythagoras theorem : a² + b² = c²
where a = length
b = base
c = hypotenuse
4² + 5² = 25 is not equal to the square of 6 which is 36
2² + 3² = 10 . 10 is not equal to the square of 4 which is 16
10² + 20³ = 500. 500 is not equal to the square of 30 which is 900
30² + 40² = 2500. this is equal to the square of 50
The two non negative real numbers with a sum of 64 that have the largest possible product are; 32 and 32.
<h3>How do we solve the nonnegative real numbers?</h3>
Let the two numbers be x and y.
Thus, if their sum is 64, then we have;
x + y = 64
y = 64 - x
Their product will be;
P = xy
Putting (64 - x) for y in the product equation we have;
P = (64 - x)x
P = 64x - x²
Since the product is maximum, let us find the derivative;
P'(x) = 64 - 2x
At P'(x) = 0, we have;
64 - 2x = 0
2x = 64
x = 64/2
x = 32
Thus; y = 64 - 32
y = 32
Read more about nonnegative real numbers
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