Algebra emerged at the end of the 16th century in Europe.
The HL Postulate
You know that the two hypotenuses are congruent and that the two triangles each contain a shared segment in the middle (so by the reflexive property they are congruent). You have two congruent hypotenuses and two congruent legs, so you can conclude congruency by HL.
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The mother is 33 years old and the child is 11 because if you divide 33 by 11 you will get 3. Then if you add 11 to both ages you will get 44 for the mother and 22 for the child. Finally you divide 44 by 22 to get 2.