NCERT - miscellaneous exercise ch 10 Q-17

The end points of the hypotenuse of a right angled triangle are (1,3) and (-4,1). Find the equation of the legs of the triangle.

Dear Student!

Here is the answer to your query.

Let the coordinates of the point of intersection of the remaining two legs of triangle by (*x*, *y*)

Now AB ⊥ BC

⇒ Slope of AB × slope of BC = –1

**[Note: Locus of B is a circle with centre at and radius . Equation of circle will be shady in next chapter.]**

Let (α,β) be a point satisfying the equation (1), In this case,

Equation of AB = *y* –3 =

and equation of BC is *y* – 1 =

Cheers!

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