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The question is poorly specified, since the given triangle can be right angled at A or C.

If it is right angled at A, then bc2 = ab2 + ac2

so that ab2 = 100 - 16 = 84 and ab = sqrt(84) = 9.165

Or

it is right angled at C, and ab2 = bc2 + ca2 = 100 + 16 = 116

so that ab = sqrt(116) = 10.770

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Q: Triangle abc is a right triangle if ac equals 4 and bc equals 10 find ab?
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