book Maths Puzzle Numerical Ability

In triangle ABC, the length of side BC is 2 inches and the length of side AC is 10 inches. What is one possible length of side AB, in inches?

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I'm really in Geometry and I have a problem about proving right triangles congruent with algebra. The problem is this: On triangle # 1, one leg is y-x and the hypotenuse is 3y+x. O I do not understand how to do the Quadratic Equation r2(squared) + 10r + 9 =0