Question

Find the length of the third side. If necessary, write in simplest radical form. 4V5 5 4 Submit Answer Answer:

Answer 1

it is a right triangle because has a right angle(90°)

then we can apply pythagoras

$a^2+b^2=h^2$

where a and b are sides and h the hypotenuse of the triangle

then replacing

$x^2+4^2=(4\sqrt[]{5})^2$

simplify

$\begin{gathered} x^2+16=80 \\ x^2=80-16 \\ x^2=64 \end{gathered}$

use roots on both sides to solve x

$\begin{gathered} \sqrt[]{x^2}=\sqrt[]{64} \\ \\ x=8 \end{gathered}$

length of the third side is 8units