Geometry  Circles and tangents
posted by Knights .
Two circles of radius 1 are externally tangent at Q . Let PQ and QR be diameters of the two circles. From P a tangent is drawn to the circle with diameter QR , and from R a parallel tangent is drawn to the circle with diameter PQ . Find the distance between these two tangent lines.
Could someone help me please, I tried drawing right triangles but they didn't seem to work....Thanks

Let O1 & O2 be the centres of the two circles. From P draw a tangent PT meeting the second circle at T. Likewise RS//PT is tangent to the first circle. From rt. triangle PTO2, sin(TPO2)= TO2/PO2 = 1/3. The distance between RS & PT = PR*sin(TPO2)= 4*1/3 = 4/3

Thanks a lot!!!
Respond to this Question
Similar Questions

Geometry
The sum of the diameters of two circles is 28 inches. One circle has a diameter that is 8 inches longer than the diameter of the other. What are the diameters of the two circles? 
geometry
Three circles are externally tangent to one another. The radius of each of the circles is 2 cm. A belt fits tightly around the three circles. Find the length of the belt. Express your answer in terms of pi with an explanation. 
Math
circles P and Q are externally tangent at T. Horizontal lines l and m are, respectively, tangent to circles P and Q at R and S. Show that RT must contain S. 
8th grade Math
This fourleaf clover consists of four coplanar circles. Each circle is externally tangent to two others, as shown. The two smaller circles are congruent, and the two larger circles are congruent. A square is constructed such that … 
maths
there are two circles touching each other at one point. The radius of bigger circle is 4cm and smaller is 1cm. A small third circle is drawn which touches both the first two circles at one point each. A common tangent passes through … 
PLEASE HELP TANGENTS AND CIRCLES PROBLEM GEOMETRY
PLEASE HELP I REALLY NEED HELP. Each of the three circles in the figure below is externally tangent to the other two, and each side of the triangle is tangent to two of the circles. If each circle has radius three, then find the perimeter … 
Please help with circle tangents geometry
Two circles of different sizes are tangent at T. A is on the smaller circle, whereas B is on the larger one. Also, segment CD is tangent to the smaller circle, and crosses the goes through the larger circle and hits the other side … 
GEOMETRY(CIRCLE)
Three circles with different radii have their centers on a line. The two smaller circles are inside the largest circle, and each circle is tangent to the other two. The radius of the largest circle is 10 meters. Together the area of … 
Geometry/Trigonometry
Circles with centers (2,1) and (8,9) have radii 1 and 9, respectively. The equation of a common external tangent to the circles can be written in the form y=mx+b with m < 0. What is b? 
GEOMETRY
Two circles with radii a and b touch each other externally . Let c be the radius of a circle which touches these two circles as well as their common tangent to the two circles . Then relate a,b and c through an equation