Three circles has radii as 1,2 and 3 units, centres at A,B and C respectively and touching each other (pair-wise) externally at D , E and F . Then the circumradius of Δ DEF is :

Question

Three circles has radii as 1,2 and 3 units, centres at A,B and C respectively and touching each other (pair-wise) externally at D , E and F . Then the circumradius of Δ DEF is : (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Δ ABC is a right angled triangle with area =6 Unit and semi perimeter =6 units = in radius of Δ ABC=1 unit

Q. Three circles has radii as $1, 2$ and $3$ units, centres at $A, B$ and $C$ respectively and touching each other (pair-wise) externally at $D$ , $E$ and $F$ . Then the circumradius of $Δ D EF$ is :

$Δ A BC$ is a right angled triangle with area $= 6$
Unit and semi perimeter $= 6 u ni t s$
$=$ in radius of $Δ A BC = 1 u ni t$

Q. Three circles has radii as 1,2 and 3 units, centres at A,B and C respectively and touching each other (pair-wise) externally at D , E and F . Then the circumradius of ΔDEF is :

ΔABC is a right angled triangle with area =6 Unit and semi perimeter =6units = in radius of ΔABC=1unit

Q. Three circles has radii as $1, 2$ and $3$ units, centres at $A, B$ and $C$ respectively and touching each other (pair-wise) externally at $D$ , $E$ and $F$ . Then the circumradius of $Δ D EF$ is :

$Δ A BC$ is a right angled triangle with area $= 6$
Unit and semi perimeter $= 6 u ni t s$
$=$ in radius of $Δ A BC = 1 u ni t$