find the radius of the largest circle that can be inscribed in a triangle with sides 5 cm, 7 cm, 10 cm respectively
Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga.
Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus.
Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
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
r = area of triangle /(semi-perimeter of the triangle)
area of triangle= sqrt(11*1*6*4)=sqrt (264) =16.248
thus r =16.248/11 =1.477
Not the answer you are looking for? Search for more explanations.
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?
see first of all roughly draw the incircle touching all the sides of the triangle
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
|dw:1358145014344:dw| is the drawing supposed to be like this?
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
also when the triangle is subdivided into three tr
A = sqrt(11(11-5)(11-7)(11-10)
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
or r = (sqrt(11(11-5)(11-7)(11-10))/11