huskylover2118
huskylover2118 huskylover2118
  • 21-04-2020
  • Mathematics
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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 indicated by the class=

Respuesta :

jimrgrant1 jimrgrant1
  • 21-04-2020

Answer:

20

Step-by-step 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 )

? = [tex]\sqrt{400}[/tex] = 20

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