The hypotenuse of a right triangle measures 11 cm and one of its legs measures 9 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.

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Answer:

5.5 cm

Step-by-step explanation:

Recall the Pythagorean Theorem which states that [tex]a^2+b^2=c^2[/tex] for a right triangle with side lengths [tex]a[/tex] and [tex]b[/tex], with a hypotenuse of [tex]c[/tex]:

[tex]a^2+b^2=c^2\\\\9^2+b^2=11^2\\\\81+b^2=121\\\\b^2=30\\\\b=\sqrt{30}\\\\b\approx5.5[/tex]

Therefore, the measure of the other leg is about 5.5 cm