Answered

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From the diagram below, if AC is a tangent line, and if PD = 8 and DC = 9, find the length of BC.

From The Diagram Below If AC Is A Tangent Line And If PD 8 And DC 9 Find The Length Of BC class=

Sagot :

Given,

PD = 8 and DC = 9

Required

The length of line BC.

Here, PB and PD are the ardius of the circle. By the definition of circle, the measure of all radius is equal.

So, PB = PD = 8.

The tangent is always perpendicular to the radius at the point of tanjency.

By the pythagoras theorem,

[tex]\begin{gathered} PB^2+BC^2=PC^2 \\ 8^2+BC^2=(17)^2 \\ BC^2=289-64 \\ BC^2=225 \\ BC=15 \end{gathered}[/tex]

Hence, the measure of BC is 15 units.

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