In Triangle ABC, AC = BC and mC = 62°. The longest side of the triangle is:
2 answers:
Answer:
The longest side of the given triangle ABC is AB.
Step-by-step explanation:
Given: In Triangle ABC, AC = BC and ∠C = 62°
To find: The longest side of the triangle ABC.
Solution: It is given that In Triangle ABC, AC = BC and ∠C = 62°,
Now, If AC=BC, then the triangle will be an isosceles triangle. Then whether AB going to be longer or shorter than AC.
If ∠C had been 60°, then it would be an equilateral triangle and all sides would have been equal. But, since ∠C > 60, the side opposite C must be the greatest.
A smaller angle would mean that AB is shorter than AC.
In this case the angle given is greater than 60 degrees, therefore AB must be longer then AC.
Hence, the longest side of the given triangle ABC is AB.
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Answer:
C. Decreases the margin of error and hence increases the precision
Step-by-step explanation:
If we select a sample by Simple Random Sampling in a population of “infinite” size (a population so large that we do not know its size exactly), then the margin of error is given by
where
<em>Z = The Z-score corresponding to the confidence level </em>
<em>S = The estimated standard deviation of the population </em>
<em>n = the size of the sample. </em>
As we can see, since n is in the denominator of the fraction and the numerator is kept constant, the larger the sample size the smaller the margin of error, so the correct choice is:
C. Decreases the margin of error and hence increases the precision