Given the altitude of an equilateral triangle is 12 cm, find the exact perimeter of the triangle
1 answer:
<span>The altitude of an equilateral triangle bisects one of the angles and the opposite side.
So, let </span>a be<span> the altitude of the triangle; we have the formula </span><span>a=xsinθ</span><span>, where </span>x<span> is the side of the triangle. Solving for </span>x<span>, </span><span>x=<span>a / <span>sinθ;
a = 12 cm; </span></span></span>θ = 60 degrees;
So, x =
<span>The exact perimeter of the triangle is 3x;
</span>
<span>
</span>
So, let </span>a be<span> the altitude of the triangle; we have the formula </span><span>a=xsinθ</span><span>, where </span>x<span> is the side of the triangle. Solving for </span>x<span>, </span><span>x=<span>a / <span>sinθ;
a = 12 cm; </span></span></span>θ = 60 degrees;
So, x =
<span>The exact perimeter of the triangle is 3x;
</span>
</span>
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Answer:
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Solved By: Varun Rathore
Answer:
0.6915
Step-by-step explanation:
Problems of normally distributed samples are solved using the z-score formula.
In a set with mean and standard deviation
, the zscore of a measure X is given by:
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this problem, we have that:
has a pvalue of 0.3085
1 - 0.3085 = 0.6915
The answer is 0.6915