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A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (1, 2)?
Update:
Write the length L of the hypotenuse as a function of x.
1 Answer
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- ?Lv 74 years ago
(x,0) where x>1, otherwise we won't have a triangle in QI.
The line through the points (1,2) and (x,0) has a slope of 2/(1-x)
And so also passes through (0, 2x/(x-1))
The distance between these points L = √((x²(x-1)² + 4x²)/(x-1)²)
which simplifies to L = (x/(x-1))√(x²-2x+5) {x: x>1}
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