<PRE><B>Question 534327</B>
&lt;B&gt;Check my profile and contact me for one on one online tutoring.&lt;/B&gt;&lt;P&gt;

If you mean the base is 52, and the two angles formed by the base and the two sides are 45 degrees, and the vertex angle is 90:&lt;P&gt;

The line drawn from the base to the vertex is the height of the triangle.  &lt;P&gt;

That line is 26 inches high.  Because:&lt;P&gt;

The line bisects the base, thus the base of the new triangle formed with the height as one side, and half the base as the base, is 26 ((1/2)*52). &lt;P&gt;

That base is opposite the original vertex angle that is now bisected.  It was a 90 degree angle, now it&#39;s a 45 degree angle.&lt;P&gt;

The base is opposite one 45 degree angle, and the height is opposite another 45 degree angle.  The sides opposite congruent angles are congruent.</PRE>