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Oksi-84 [34.3K]
3 years ago
7

AB is Tangent to circle O at B. if AB = 7 and AO = 17.4, what is the length of radius r to the nearest tenth?

Mathematics
2 answers:
Vladimir79 [104]3 years ago
6 0
The answer to the question is 15.92
irakobra [83]3 years ago
5 0
The angle the radius makes with AB is a right angle, so the Pythagorean theorem applies.
  r² = 17.4² - 7² = 253.76
  r = √253.76 ≈ 15.9

The length of radius r is about 15.9.
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Answer:

Length of smaller side = 15 inches

Length of bigger side = 36 inches

Length of hypotenuse = 39 inches

Step-by-step explanation:

Given:

Length of smaller side = a

Length of bigger side = (a + 21) inches

Length of hypotenuse = (a + 24) inches

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Computation:

Using Pythagorean theorem

Hypotenuse² = Base² + Perpendicular²

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So

a = 15 inches a = -7 inches

So,

Length of smaller side = a = 15 inches

Length of bigger side = (a + 21) inches = 15 + 21 = 36 inches

Length of hypotenuse = (a + 24) inches = 15 + 24 = 39 inches

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