Answer:
[tex]a=11.2\text{ m}[/tex]
Step-by-step explanation:
The Pythagorean theorem states that if the square of a side is equal to the sum of the square of the other two sides, then the triangle must be a right-angle triangle.
[tex]a^2+b^2=c^2[/tex]
So, for the given values:
b=5.1, c=12.3, a=?
[tex]\begin{gathered} a^2=c^2-b^2 \\ a=\sqrt[]{12.3^2-5.1^2} \\ a=\sqrt[]{151.29-26.01} \\ a=\sqrt[]{125.28} \\ a=11.19 \\ \text{ Rounding to the nearest tenth:} \\ a=11.2\text{ m} \end{gathered}[/tex]
