Answer:
9.09
Step-by-step explanation:
Pythagorean Theorem: a² + b² = c²
When looking at the triangle we see that we have the hypotenuse and the opposite side.
a = opposite
b = adjacent
c = hypotenuse (always)
So if we plug those numbers into the equation we can get the missing side length
1) a² + b² = c²
2) 9.7² + b² = 13.3²
3) b² = 13.3² - 9.7²
4) b² = 176.89 - 94.09
5) b = [tex]\sqrt{176.89 - 94.09}[/tex]
6) b = 9.093954036
Now we round to nearest hundredth
To find the nearest hundredth we have to look at the thousandth place in the thousandth place we have 3 (9.093) that rounds down so,
b = 9.09
