Respuesta :

Answer:

x = [tex]\sqrt{30}[/tex]

Step-by-step explanation:

Applying altitude- on - hypotenuse theorem.

(leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )

x² = 3 × (3 + 7) = 3 × 10 = 30 ( take square root of both sides )

x = [tex]\sqrt{30}[/tex]