Question

In triangle DEF, DE = DF = 100, and EF = 56. Circle Q has

radius 16 and is tangent to segment DF and segment EF. Circle S is externally tangent to Circle Q and tangent to segments DE and EF. No point of circle S lies outside of triangle DEF. The radius of circle S can be expressed in the form a-b√c a where a, b, and c are positive integers and c is the product of distinct primes. Find bc - a.

a) 35

b) 166

c) 195

d) 254

e) None of the above​

Answer 1

Answer:

b) 166

Step-by-step explanation:

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