SOLUTION: Question: Find the length of a tangent line segment from (10,5) to the circle {{{ x^2+y^2= 25 }}}

Question 1188272: Question: Find the length of a tangent line segment from (10,5) to the circle

Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
Draw this. The distance from the point to the center of the circle (the origin) is sqrt 125.
the radius of the circle is 5.
There is a right triangle formed by the radius and the tangent line, with the hypotenuse's being the distance from the center.
So r^2+ tangent line^2=distance from origin^2
so 25 +tl^2=125
tl=10 units
RELATED QUESTIONS
Find the length of the tangent line segment from (2,8) to... (answered by josgarithmetic)

Given the circle x^2+y^2=25 and the point A(3.-4) on the circle. Find the equation of the (answered by Alan3354)

Question 8 If AB = 5.5, CD = 7, and FE = 19.5, calculate the values of line... (answered by MathLover1)

find the equation of tangent to circle... (answered by ikleyn)

Find an equation of the line tangent to the circle (x − 9)^2 + (y − 2)^2 = 25 (answered by Fombitz)

Find the equation of a line tangent to the circle x^2+(y−3)^2=34 at the point (5,... (answered by Alan3354)

Find the equation of a tangent from the point(0,5) to the circle x^2 +... (answered by josgarithmetic)

Obtain the length of the line segment drawn from point (3,1) to the point of tangency... (answered by josgarithmetic,ikleyn)

Find an equation of the line tangent to the circle (x−3)2+(y−3)2=25 at the... (answered by reviewermath,MathLover1)