Use the Pythagorean theorem to find the third side of the triangle.

Answer:
9.2 (1DP)
Step-by-step explanation:
Answer:
[tex]\huge\boxed{2\sqrt{21}\approx9.17}[/tex]
Step-by-step explanation:
[tex]\text{The Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have:}\\\\leg=4,\ hypotenuse=10\\\\\text{Substitute:}\\\\4^2+leg^2=10^2\\\\16+leg^2=100\qquad\text{subtract 16 from both sides}\\\\16-16+leg^2=100-16\\\\leg^2=84\to leg=\sqrt{84}\\\\leg=\sqrt{(4)(21)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\leg=\sqrt4\cdot\sqrt{21}\\\\leg=2\sqrt{21}[/tex]