Respuesta :

Answer:

x = 10.39 to the nearest hundredth.

Step-by-step explanation:

this is a right angled triangle so we use the Pythagoras theorem:

12^2 = x^2 + 6^2

x^2 = 12^2 - 6^2

x^2 =  144 - 36 = 108

x = √108

x = 10.39 (answer).

Use the Pythagorean Theorem formula:

a^2 + b^2 = c^2

a: First shortest length

b: Second shortest length

c: Third shortest length

Solve for x (which will be x^2 because we're finding x)

6^2 + x^2 = 12^2

36 + x^2 = 144

-36               -36

x^2 = 108

square root of x^2 = square root of 108

x = 10.3923048454

x = 10.4

10.4 after we round it to the nearest tenths