what is the value of x?

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