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The answer is 32.527 or 32.
If you see a box on the top corner of the triangle, use just half of the triangle for this problem. Use it as a right triangle. The Pythagorean Theorem is a²+b²=c². [tex]\overline{CD}[/tex] is 23, so [tex]\overline{BD}[/tex] is also 23, because it's called a 45°-45°-90° triangle, due to the angles being the same. Type in √(23^2+23^2) into your calculator, or use an equation solver: 23²+23²=x², solve for x, and you will get 32.527 or 32.