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3. Assume lines that look tangent are tangent. Find the length of the line

segment indicated by the ?

3. Assume lines that look tangent are tangent. Find the length of the line segment-example-1
User Erik Eidt
by
3.4k points

1 Answer

3 votes
3 votes

Answer:

20

Explanation:

The point of contact of the tangent and the diameter of the circle is a right angle.

Thus the triangle with legs 12 and 2 × 8 = 16 is right

Using Pythagoras' identity.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

?² = 12² + 16² = 144 + 256 = 400 ( take the square root of both sides )

? =
√(400) = 20

User Eugenioy
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3.1k points