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find the radius of the largest circle that can be inscribed in a triangle with sides 5 cm, 7 cm, 10 cm respectively
 one year ago
 one year ago
find the radius of the largest circle that can be inscribed in a triangle with sides 5 cm, 7 cm, 10 cm respectively
 one year ago
 one year ago

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matrickedBest ResponseYou've already chosen the best response.2
let r be the radius of the largerst circle that can be drawn inside traingle then area of the triangle is given by the sum of the three triangles thus formed by joining the incentre with the respective vertices
 one year ago

matrickedBest ResponseYou've already chosen the best response.2
thus r = area of triangle /(semiperimeter of the triangle)
 one year ago

matrickedBest ResponseYou've already chosen the best response.2
area of triangle= sqrt(11*1*6*4)=sqrt (264) =16.248 semiperimetr= (5+7+10)=22/2=11 thus r =16.248/11 =1.477
 one year ago

syhnaBest ResponseYou've already chosen the best response.0
i dont get it? i also solved it but in a different solution but i wasn't sure of my answer so i asked the question but our solutions and answers did not match so will you explain to me your solution ? pleeaase?
 one year ago

matrickedBest ResponseYou've already chosen the best response.2
see first of all roughly draw the incircle touching all the sides of the triangle
 one year ago

matrickedBest ResponseYou've already chosen the best response.2
now take any one side and see it forms a triangle with the incentre as one of the vertex and the side of the triangle as the base
 one year ago

syhnaBest ResponseYou've already chosen the best response.0
dw:1358145014344:dw is the drawing supposed to be like this?
 one year ago

matrickedBest ResponseYou've already chosen the best response.2
if i assume the lengths of the sides to be a,b,c (and say a=5,b=7,c=10) and r be the incenter of the triangle ,. then area of triangle is given by area =sqrt(s*sa)*(sb)*(sc)) also when the triangle is subdivided into three tr
 one year ago

syhnaBest ResponseYou've already chosen the best response.0
A = sqrt(11(115)(117)(1110) right?
 one year ago

matrickedBest ResponseYou've already chosen the best response.2
also if r is the incentre then area=1/2 *r *5 + 1/2 *r *7 + 1/2 *r *10 =r *(5+7+10) /2 =r*22/2=11 *r hence 11r =sqrt(11(115)(117)(1110) or r = (sqrt(11(115)(117)(1110))/11
 one year ago

matrickedBest ResponseYou've already chosen the best response.2
u can correct or check the calcualtion
 one year ago
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