Answer:
x = 2[tex]\sqrt{13}[/tex]
Step-by-step explanation:
Altitude - on - Hypotenuse theorem
An altitude drawn to the hypotenuse of a right triangle, then
x² = 4 × (4 + 9) = 4 × 13 = 52 ( take square root of both sides )
x = [tex]\sqrt{52}[/tex]
= [tex]\sqrt{4(13)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{13}[/tex] = 2[tex]\sqrt{13}[/tex]
