PQ is a chord of length 8 cm of a circle of radius 5 cm. The tangents at P and Q intersect at a point T (see Fig. 10.10). Find the length TP.
Text Solution
AI Generated Solution
To solve the problem, we will follow these steps:
### Step 1: Understand the Geometry
We have a circle with a radius of 5 cm and a chord PQ of length 8 cm. The tangents at points P and Q intersect at point T. We need to find the length of TP.
### Step 2: Find the Midpoint of the Chord
Since OT (the radius to the chord) is perpendicular to the chord PQ, we can find the midpoint R of the chord PQ. The length of PR (or RQ) is half of PQ.
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