Type of triangle-1??

Geometry Level 4

If in any triangle $r=r_{1}-r_{2}-r_{3}$ then the triangle is

where,

$r$ is radius of incircle and $r_{1},r_{2},r_{3}$ are radii of ex-circle of $\Delta$ $ABC$

$r_{1}$ is radius of ex circle of vertex $A$ . $r_{2}$ of vertex $B$ and $r_{3}$ of vertex $C$

Isosceles None Equilateral Right angled

1 solution

Deepak Kumar
Jan 1, 2016

Use the standard formula for r,r1 etc and put into the given expression,simplying which with further lead to tan(A/2)=1 which implies the triangle is right angled at A

Type of triangle-1??

1 solution

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