Answer:
x = 3 and y = 2
Step-by-step explanation:
For the triangles to be congruent.
The hypotenuse and a leg of one triangle and the hypotenuse and a corresponding leg of the other triangle must be congruent, that is
x = y + 1 → (1) congruent legs
3y = x + 3 → (2) congruent hypotenuse
Substitute x = y + 1 into (2)
3y = y + 1 + 3, that is
3y = y + 4 ( subtract y from both sides )
2y = 4 ( divide both sides by 2 )
y = 2
Substitute y = 2 into (1)
x = 2 + 1 = 3
