He should throw to second base. For an explanation, see solution.
Practice makes perfect
Let's start with recalling Angle-Side Relationships in Triangles.
If one angle of a triangle has
a greater measure than another angle, then the side opposite the greater angle
is longer than the side opposite the lesser angle.
Now we will draw a triangle whose vertices are the bases. Let's label the vertices A,B and C. Notice that ∠ C also has a measure of 45^(∘), as the sum of the measures of angles in a triangle is always 180^(∘).
Since 90^(∘)> 45^(∘), side AC is longer than the side AB. This means that third base is nearer to second base than first. Therefore, the third baseman should throw the ball to second base.
