Question

In a DABC, the radii r, r1, r2 and r3 are in proportion then the triangle is-

• A. Isosceles
• B. Right angled
• C. Right angled Isosceles
• D. None of these

Answer 1

Answer: (B)

Right angled

Answer 2

r =, r₁ =$\frac { \Delta } { ( s - a ) }$; r₂ =; r₃ =

r, r₁, r₂, r₃ are in G.P., r r₃ = r₁ r₂

=$\frac { \Delta ^ { 2 } } { ( s - a ) ( s - b ) }$̃ = 1,

tan² = 1, = $\frac { \pi } { 4 }$

̃ C =$\frac { \pi } { 2 }$.