A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 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
find the radius of the largest circle that can be inscribed in a triangle with sides 5 cm, 7 cm, 10 cm respectively

This Question is Closed

matricked
 one year ago
Best ResponseYou've already chosen the best response.2let 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

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

matricked
 one year ago
Best ResponseYou've already chosen the best response.2area 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

syhna
 one year ago
Best ResponseYou've already chosen the best response.0i 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?

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

matricked
 one year ago
Best ResponseYou've already chosen the best response.2now 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

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

matricked
 one year ago
Best ResponseYou've already chosen the best response.2if 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

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

matricked
 one year ago
Best ResponseYou've already chosen the best response.2also 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

matricked
 one year ago
Best ResponseYou've already chosen the best response.2u can correct or check the calcualtion
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.