Answer:
The lines are perpendicular
Step-by-step explanation:
we have
isolate the variable y
----> equation A
The slope of the line A is
-----> equation B
The slope of the line B is
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)
In this problem
The slopes of line A and line B are opposite reciprocal
therefore
The lines are perpendicular
The square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
<h3>What is a right-angle triangle?</h3>It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
First we have to find the line that goes through the points (0, 6) and (8, 0)
(y - 0) = (0-6)/(8-0)(x-8)
y = (-6/8)[x - 8]
Plug y = x
x = (-6/8)[x - 8]
After solving:
x = 24/7 or 3.428
y = 24/7 or 3.428
Thus, the square's side length is 24/7 or 3.428 units if the square is inscribed in a right triangle with leg lengths 6 and 8 such that they have a common right angle.
Learn more about the right angle triangle here:
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