9514 1404 393
Answer:
L = 5√10
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the other two sides.
(10√3)² = L² + (5√2)²
300 = L² + 50 . . . . . . . . . evaluate the squares
L² = 300 -50 = 250 . . . . subtract 50
L = √250 = (√25)(√10) . . . . take the square root and factor for simplification
L = 5√10
