The length of tangent from an external point P on a circle with centre O is
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15
Answer:
always less than op
Step-by-step explanation:
as in a right angles triangle hypotenuse is always greater than any of the two sides of the triangle. hence, the length of tangent from an external point on p on a circle with center o is always less than op
Answered by
4
Step-by-step explanation:
Given:External point is p and Circle with center O.
Let the point of contact be A and radius is r.
Tangent is AP. and it's length be h.
We know that, radius draw at the pointbof contact of a tangent is perpendicular to that tangent.
So, angle OAP=90°.
By joing OP it becomes hypothenuse and
we get right triangle AOP.
By Pythagorean triplet:
hyp²=h²+r²
h²=hyp²-r²
h=√hpy²-r².
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