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Verified Answer :

Use the Pythagorean theorem a^2+b^2=c^2
6^2+9^2=c^2
36+81=c^2
117=c^2
find the square root of 117
the answer is  11

fakejonsmith

use pythagorus, a² + b² = c²

in this case you have c and either a or b. (it doesn't matter which, i'll use a)

using a bit of algebra, you can turn your formula into b = \(\sqrt{(c² - a²)}\)

now all you have to do is plug in your numbers. a = 6mm and c = 9mm

b = \(\sqrt{((9)² - (6)²)}\) = \(\sqrt{(81 - 36)}\) = \(\sqrt{45}\) ≈ 6.7mm