Answer:
Step-by-step explanation:
The triangle is a 30-60-90 right triangle.
The ratio of the lengths of the sides is:
The order of the sides in the ratio above is
short leg : long leg : hypotenuse
The long leg is sqrt(3) times the length of the short leg.
The hypotenuse is twice the length of the short leg.
Solving this question will involve basic division knowledge.
<em><u>The different positive integer values of n are; 4,6,8,12,24</u></em>
From knowledge on division, we know that when 27 is divided by N and we have 3 as remainder, we can express it as;
= quotient +
Now let us rearrange to get;
-
= quotient
this gives;
= quotient
Now to get how many positive integers can be n, it means all positive values of the quotient must be positive integers as well.
Factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24
Thus, the possible positive integers will come from this list.
But we can't make use of 1,2,3 as possible values of n because when we divide with 27, we will get either an exact value or 1 as the remainder.
Thus <em>the possible positive integer values of n are; 4,6,8,12,24</em>
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Read more at; brainly.in/question/20088076
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