# 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.

Toolbox:
• 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.
edited Jul 11, 2014