r = 2
R = 7 =
Hypotenuse = 14
r =
2 =
a + b – 14 = 4
a + b = 18
a^{2} + b^{2} = 14^{2}
a^{2} + (18 – a)^{2} = 196
a^{2} + 324 + a^{2} – 36a = 196
2a^{2} – 36a + 128 = 0
a^{2} – 18a + 64 = 0
Now the 2 roots to this equation will effectively be a, 18 – a. Product of the roots = 64.
Area = × product of roots (How? Come on, you can figure this out.)
= 32 sq. cms
Answer choice (a)
Correct Answer: 32 sq cms
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