Problem

The following triangles are: similar not enough information to decide neither congruent or similar congruent

Solution

Step 1 :Let the angles of the triangle be $n-d$, $n$, and $n+d$ in arithmetic progression.

Step 2 :The sum of the angles in a triangle is 180 degrees, so we have $180 = n-d+n+n+d = 3n$.

Step 3 :Solving for $n$, we get $n=60$.

Step 4 :The sum of the degree measures of two angles of a triangle is less than 180, so we have $180 > n + (n+d) = 120 + d$.

Step 5 :This implies that $0

Step 6 :Since there is no information about the side lengths of the triangles, we cannot determine if they are congruent or similar.

Step 7 :\(\boxed{\text{not enough information to decide}}\)

From Solvely APP
Source: https://solvelyapp.com/problems/15576/

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