Writing Are all right
To determine if all the right triangles similar.
Answer to Problem 14P
No, all right triangles are not similar.
Explanation of Solution
Two triangles may be similar by property AAA (when all the angles of the both the triangles are same).
Assuming two right triangles we know that
But the rest two may be different or same. Hence there is no certainty that they will be always same, therefore all right triangles cannot be similar.
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