Two circles with centers C1 and C2 have radii r1 = 8 cm and r2 = 7 cm, respectively. The distance between their centers is 17 cm. A common internal tangent touches the circles at points P1 and P2. What is the length of the segment P1P2?
Show answer & explanation
Correct answer: C
Explanation
Given:
r₁ = 8 cm
r₂ = 7 cm
Distance between centers (d) = 17 cm
Formula:
Length of common internal tangent = √(d² − (r₁ + r₂)²)
P₁P₂ = √(17² − (8 + 7)²)
= √(289 − 225)
= √64
= 8
P₁P₂ = 8 cm