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Question:
The hypotenuse of a right angled triangle has its ends at the points (1, 3) and b(- 4, 1). Find the equation of the legs (perpendicular sides) of the triangle
Answer:

Given hypotenuse of a right-angled triangle has its ends at the points (1, 3) and b(- 4, 1).

Now equation of a line parallel to x-axis is y = constant

So y = 1 

Again equation of a line parallel to y-axis is x = constant

So x = 1

So the equation of the legs (perpendicular sides) of the triangle are x =1 and y = 1.

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