Respuesta :

Answer:

x = 34

Step-by-step explanation:

By Pythagoras theorem:

[tex] {x}^{2} = {(16)}^{2} + {(30)}^{2} \\ \\ = 256 + 900 \\ \\ = 1156 \\ \\ \implies \: x = \sqrt{1156} \\ \\ \implies \: x =34[/tex]

Answer:

x = 34 cm

Step-by-step explanation:

Using Pythagorean Theorem,

a² + b² = c²

Values given :-

a and b = 16 and 30

c = x

Substitute :-

x² = (16)² + (30)²

x² = 256 + 900

x² = 1156

x = √1156

x = 34 cm