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Alex777 [14]
2 years ago
12

I need help with this geometry question

Mathematics
1 answer:
UNO [17]2 years ago
6 0

Answer:

radius ≈ 15.5

Step-by-step explanation:

the radius is RS

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

then Δ RST is a right triangle

using Pythagoras' identity in the right triangle.

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

RS² + ST² = RT² ( substitute values )

RS² + 7² = 17²

RS² + 49 = 289 ( subtract 49 from both sides )

RS² = 240 ( take square root of both sides )

RS = \sqrt{240} ≈ 15.5 ( to 1 dec. place )

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