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प्रश्न
Draw a line AB = 6 cm. Construct a circle with AB as diameter. Mark a point P at a distance of 5 cm from the mid-point of AB. Construct two tangents from P to the circle with AB as diameter. Measure the length of each tangent.
ज्यामितीय चित्र
योग
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उत्तर
The length of each tangent (PQ or PR) measures 4 cm when constructed and measured accurately, which can also be verified using the Pythagorean theorem:
PQ = `sqrt(OP^2 − OQ^2)`
PQ = `sqrt(5^2 − 3^2)`
PQ = `sqrt(25 − 9)`
PQ = `sqrt16`
PQ = 4 cm
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