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Home  >>  CBSE XI  >>  Math  >>  Straight Lines
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The hypotenuse of a right angled triangle has its ends at the points (1, 3) and (– 4, 1). Find an equation of the legs (perpendicular sides) of the triangle.

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  • Equation of a line parallel to x axis is y = constant.
  • Equation of a line parallel to y axis is x = a constant.
Step 1 :
It is clear from the graph that the leg BC of the triangle is parallel to the x - axis.
Hence its equation is y=1
The perpendicular leg AC is parallel to y axis.
Hence its equation is x = 1
Hence the equation of the legs AC and BC are
x = 1 and y = 1 respectively.
answered Jul 11, 2014 by thanvigandhi_1
edited Jul 11, 2014 by thanvigandhi_1
 

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