Answer:
x = 10
Step-by-step explanation:
if there 2 same triangle then they are right triangle
By using Pythagorean theorem for 1 of right triangle, we have
[tex]\sqrt{74} ^{2}[/tex] = [tex]7^{2}[/tex] + [tex](\frac{x}{2}) ^{2}[/tex]
74 = 49 + [tex]\frac{x^{2}}{4}[/tex]
74 - 49 = [tex]\frac{x^{2}}{4}[/tex]
25 = [tex]\frac{x^{2}}{4}[/tex]
therefore, x = [tex]\sqrt{25*4}[/tex] = [tex]\sqrt{100}[/tex] = 10
