Question

25 points

Find Y. Assume that segments that appear to be tangent are tangent. Around to the nearest tenth if necessary.

Answer 1

y ≈ 12.6

Explanation:

the angle between a tangent and the radius of the circle at the point of contact is 90°

then the triangle with y as a leg is right.

using Pythagoras' identity in the right triangle.

y² + 39² = 41²

y² + 1521 = 1681 ( subtract 1521 from both sides )

y² = 160 ( take square root of both sides )

y =
`√(160)` ≈ 12.6 ( to the nearest tenth )