1.

Which of the following holds for a right angle triangle ABC?

Answer»

Diameter of one of the ex-circles equals to the PERIMETER of the triangle.
Diameter of the circle circumscribing `DeltaABC` equals to one of the sides of triangle.
`r:b+c:a=2:17:13`
Diameter of incircle equals to LENGTH of the SHORTEST tangent DRAWN from the vertices to the incircle

Solution :(A) `Let""2r_(1)=2s`
`s TAN((A)/(2))=simpliesA=(pi)/(2)`
(B) `Let""2R=aimpliessinA=1impliesA=(pi)/(2)`
(C )`Let" "r=2k,b+c=17k,a=13k`
`s=15k,r=(s-a)"tan"(A)/(2)implies(A)/(2)=(pi)/(4)`
`A-(pi)/(2)`
(D) `2r=s-aimplies"tan"(A)/(2)=(1)/(2)"":.Ane(pi)/(2)`


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