Find the value of y. A. 16 B. \sqrt{55} C. 8\sqrt{3} D. 6
2 answers:
<h2>Answer:</h2>
Option: B is the correct answer.
The value of y is:
We know that when a altitude is drawn from the vertex of a right angled triangle to the hypotenuse of the triangle then the length of the altitude is the geometric mean of the length of two segments of the hypotenuse.
Here by looking at the figure we have:
The altitude is denoted by y.
and the two segments of the hypotenuse have length 5 and 11.
Hence, we have:
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For this case we have by definition, that the equation of a line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut point with the "y" axis
We have, according to the data provided, that the line is of the form:
That means that the slope is -1.
ANswer: