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alexgriva [62]
3 years ago
7

Find the diameter of the circle. Assume the leg of the triangle is tangent to the circle. Round any decimals to the nearest tent

h.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

Answer:

8.7 units

Step-by-step explanation:

Given is a right angled triangle (because the segment with 5 units length is tangent to circle. Tangent is perpendicular to RADIUS or diameter)

Let the length of the diameter be d units

By Pythagoras Theorem:

d =   \sqrt{ {10}^{2} -  {5}^{2}  }  \\  =  \sqrt{100 - 25}  \\  =  \sqrt{75} \\  =  8.66025404 \\  = 8.7 \: units

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