Question

Find the exact length of the third side.

Answer 1

 

$\displaystyle\bf\\\textbf{A third side is hypotenuse.}\\\\The~length~of~the~hypotenuse=\sqrt{cat1^2+cat2^2}~~~(T.Pithagoras)\\\\The~length~of~the~hypotenuse=\sqrt{4^2+5^2}=\sqrt{16+25}=\boxed{\bf\sqrt{41}}$

 

Answer 2

Answer:

√41 or 6.40

Step-by-step explanation:

Pythagorean theorem:

a² + b² = c²

The third side is considered the hypotenuse (c²).

a² and b² will be represented by the legs.

a² = 4²

b² = 5²

c² = c²

4² + 5² = c²

16 + 25 = c²

31 = c²

√41 = c