Answer: d = ±10
Step-by-step explanation:
169 = [tex](\frac{24}{2})^{2}[/tex] + [tex](\frac{d}{2})^{2}[/tex]
169 = (12)² + [tex]\frac{d^{2}}{4}[/tex]
169 = 144 + [tex]\frac{d^{2}}{4}[/tex]
25 = [tex]\frac{d^{2}}{4}[/tex]
100 = d²
√100 = √d²
±10 = d