JEE Main Mathematics question
Not in JEE syllabus
The lengths of the tangents drawn from the vertices , and to the incircle of are 5, 3 and 2 respectively. If the lengths of the parts of the tangents within the triangle which are drawn parallel to the sides , and of the triangle to the incircle are , and respectively, then the value of (where represents the greatest integer function) is .
Answer: 6
Solution
Tangent lengths , , give the sides , , , so . A tangent to the incircle drawn parallel to a side cuts off a small triangle similar to , and the length of
See the full step-by-step solution
Create a free account to read the complete working, and practise questions like this in a timed test.
Create a free account