Answer:
4 cm.
Step-by-step explanation:
The Pythagorean Theorem Is:
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[tex]a^2 + b^2 = c^2\\
\rule{150}{0.5}\\
\text{a, b - measurements of the \textbf{legs} of a \textbf{right triangle.}}\\
\text{c - measurement of the \textbf{hypotenuse} of a \textbf{right triangle.}}\\\\\\
\text{The sums of the squares of the legs of a right triangle is equal to the square of the hypotenuse.}[/tex]
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We are given the hypotenuse measurement of 5 cm and a leg measurement of 3 cm.
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[tex]a^2 + 3^2 = 5^2\\
\rule{150}{0.5}\\
a^2 + 9 = 25\\\\
a^2+ 9 - 9 = 25 - 9 \\\\
a^2 = 16\\\\
\sqrt{a^2} =\sqrt{16}\\\\
\boxed{a = 4}[/tex]
The measurement of the missing leg is 4 cm.
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Hope this helps!
