CBSE Class 10 Answered
A triangle has side lengths 4,6,8. A tangent is drawn to the incircle parallel to side 4cm cutting other two sides at M & N,then the length of MN is ?
(A)10/9
(B)20/9
(C)5/3
(D)4/3
Asked by Anubhav Sachan | 21 Oct, 2013, 06:42: PM
Expert Answer
Consider, the following figure,
Here triangle ABC is the given triangle with sides, a = 6, b = 4, c = 8
Ler r be the radius of the incircle.
Area of the triangle in terms of inradius is
A = r × semi-perimeter of triangle
A = r × (a + b + c)/2 ....(i)
Area of triangle is given by
A = 1/2 bh ....(ii)
1/2 bh = r × (a + b + c)/2
Answered by Sneha shidid | 22 Oct, 2013, 10:38: AM
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