Answer:
L = 5[tex]\sqrt{10}[/tex]
Step-by-step explanation:
use Pythagorean Theorem:
L² + (5[tex]\sqrt{2}[/tex])² = (10[tex]\sqrt{3}[/tex])²
L² + 25(2) = 100(3)
L² + 50 = 300
L² = 250
L = [tex]\sqrt{250}[/tex] = [tex]\sqrt{25}[/tex] · [tex]\sqrt{10}[/tex] = 5[tex]\sqrt{10}[/tex]
