Question
Two circles of radii 8 cm and 3 cm have their centers 15 cm apart. What is the length of the common internal tangent?
Solution
The length of the common internal tangent is given by √(d² - (r₁ - r₂)²), where d is the distance between the centers, r₁ and r₂ are the radii of the circles. Substituting the values, √(15² - (8 - 3)²) = √(225 - 25) = √200 = 14.14 ≈ 14 cm. Correct answer: c) 14 cm
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