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Step-by-step explanation:

Let

c = 11.5 cm

a = 8.9 cm

b = ?

Since this is a right triangle, we can use Pythagorean theorem to find the length of side b:

[tex]c^2 = a^2 + b^2[/tex]

[tex]\Rightarrow b^2 = c^2 - a^2[/tex]

Taking the square root of the equation above, we get

[tex]b = \sqrt{c^2 - a^2} = \sqrt{(11.5\:\text{cm})^2 - (8.9\:\text{cm})^2}[/tex]

[tex]\:\:\:\:=7.3\:\text{cm}[/tex]

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