Properties of Triangles 3 Question 15
15. Circle with radii 3,4 and 5 touch each other externally, if is the point of intersection of tangents to these circles at their points of contact. Find the distance of from the point of contact.
(2005, 2M)
Show Answer
Answer:
Correct Answer: 15.
Solution:
- Since, the circles with radii 3,4 and 5 touch each other externally and
is the point of intersection of tangents.
Thus, distance of point
i.e.
where,
Hence,