Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 10 Answered

<div>if a b and c are the sides of a right angled triangled where c is hypotenuse the prove that the radius r of the circle which touches the sides of the triangle is given by r=a+b-c/ 2</div>
Asked by Chandana kiran | 13 Mar, 2015, 08:37: PM
Expert Answer
C o n s i d e r space t h e space f o l l o w i n g space f i g u r e.
L e t space r space b e space t h e space r a d i u s space o f space t h e space i n s c r i b e d space c i r c l e. W e space s h a l l space u s e space t h e space f a c t space t h a t space t h e space ln e g t h space o f space t h e space tan g e n t s space f r o m space a n space e x t e r n a l space p o i n t space t o space a space c i r c l e space a r e space e q u a l. T h u s comma space Q S equals Q U equals r A n d S R equals a minus r equals R T P T equals c minus open parentheses a minus r right parenthesis close parentheses a n d P U equals b minus r S i n c e space P T equals P U comma space w e space h a v e c minus open parentheses a minus r right parenthesis close parentheses equals b minus r rightwards double arrow c minus a plus r equals b minus r rightwards double arrow 2 r equals a plus b minus c rightwards double arrow r equals fraction numerator a plus b minus c over denominator 2 end fraction
Answered by Vimala Ramamurthy | 14 Mar, 2015, 01:39: PM
CBSE 10 - Maths
Asked by Trisha Gupta | 07 Oct, 2021, 03:48: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by sohamsuryawanshi7824 | 22 Sep, 2020, 06:29: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by kibaisato00 | 04 Jul, 2020, 11:39: AM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by vedantsagrawal23 | 01 Aug, 2019, 06:48: PM
ANSWERED BY EXPERT
CBSE 10 - Maths
Asked by tina.perumadan | 17 Jan, 2019, 07:49: PM
ANSWERED BY EXPERT
Free Sample Papers - Click Here
×