A triangle has corners at $(9 , 2 )$ , $(4 ,7 )$ , and $(5 ,6 )$ . What is the radius of the triangle's inscribed circle?

Question

1397 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-04-07T03:10:34

The three points lie on a single straight line, so they are collinear and do not form a triangle.

Given $A(4,7), B(5,6) and C(9,2)$ ,

$m_(AB)=(6-7)/(5-4)=-1$

$m_(BC)=(2-6)/(9-5)=-1$

As the two segments $AB$ and $BC$ have a same gradient of $-1$ and a common point $B$ , the three points $A,B and C$ are collinear.

A triangle has corners at (9 , 2 )(9 , 2 ), (4 ,7 )(4 ,7 ), and (5 ,6 )(5 ,6 ). What is the radius of the triangle's inscribed circle?