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unknownyobutt21
02.06.2021 •
Mathematics
Determine the value of x.
Question 11 options:
A)
5
B)
5
C)
10
D)
Solved
Show answers
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Ответ:
This is equivalent to![\frac{10\sqrt{3}}{3}](/tpl/images/1358/4776/4340f.png)
======================================================
Explanation:
To get the first value mentioned above, we simply divide the long leg (10) over the square root of 3.
This is due to the fact that if x is the short leg, then x*sqrt(3) is the long leg. We go in reverse of this process to go from long leg to short leg.
The expression
is the same as
after we multiply top and bottom by sqrt(3) to rationalize the denominator.
Side notes:
This entire process only applies to 30-60-90 triangles.The hypotenuse of a 30-60-90 triangle is twice as long as the short leg, so the hypotenuse isОтвет:
hope this helps