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Questions:
Solution:
Q.18
Q.19
Answer = 32
In radius = 4
Let tangents fro A be p, tangents from B be q and tangents from C be r.
So, AB+BC-AC = 8. q+q = 8, q = 4.
Same point equal tangent.
So p/(p+4) = 1/4
p = 4/3.
AB^2+ BC^2 = AC^2
AB = p+q+4= 4/3+8 = 28/3
AC = (16/3 +r)
BC = (4+r)
So 784/9 + 16+ 8r = 256/9 + 32/3 r
672/9 = 24/9 r
r = 28.
So BC = q+r = 28+4 = 32
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