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Answer:
(b) x = 3, y = 2
Step-by-step explanation:
In order for the triangles to be congruent by the HL theorem, the hypotenuses must be congruent:
3y = x+3
and the corresponding legs must be congruent:
y +1 = x
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We can solve this set of equations by substituting for x:
3y = (y +1) +3
2y = 4 . . . . . . . .subtract y
y = 2 . . . . . . . . .divide by 2
2+1 = x = 3 . . . substitute for y in the equation for x
The solution is (x, y) = (3, 2).
