A 30°- 60°-90° triangle has a hypotenuse of 14. How long is the side opposite.
1 answer:
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Answer:
The two positive integers are 30 and 30
Step-by-step explanation:
Let
x------> the larger positive integer
y-----> the smaller positive integer
P----> the product o the two positive integers
we know that
-----> equation A
----> equation B
substitute equation A in equation B
This is the equation of a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex is the largest possible product
Using a graphing tool
The vertex is the point (30,900)
That means------> For The largest possible product is
and
------>
therefore
The two positive integers are 30 and 30
