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Katarina [22]
3 years ago
15

Please answer this now in two minutes

Mathematics
1 answer:
Xelga [282]3 years ago
7 0

Answer:

17.5

Step-by-step explanation:

The following data were obtained from the question:

Angle R = 105°

Side R = r

Side S = 15

Side T = 6

The value of r can be obtained by using cosine rule formula as shown below:

inding sides:

r² = s²+ t² – 2st cos(R)

r² = 15² + 6² – 2 × 15 × 6 × cos105°

r² = 225 + 36 – 180 × cos105°

r² = 261 + 46.587

r² = 307.587

Take the square root of both side

r = √307.587

r = 17.5

Therefore, the value of r is 17.5

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SZ = TZ = 5 cm (tangents drawn from and external point)

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