Answer:
7.5
Explanation:
For this, we need the Pythagorean theorem, which states a^2+b^2=c^2. We have our c and b, so we need to find a. To do this, first substitute:
a^2+11.1^2=13.4^2
Then, multiply exponents:
a^2+123.21=179.56
After that, get all the like terms on one side of the equation. To do this, subtract:
a^2+123.21=179.56
-123.21 -123.21
_____ ______
0 56.35
Finally, to get a by itself, you have to find the square root of 56.35:
a=7.5 (rounded to the nearest 10th)
Hope this helps!