Answer :

Answer:

19.85

Step-by-step explanation:

Use the pythagoras theorem.

Third side² = 13² + 15² = 394

or, Third side = √(394)

or, Third side ≈ 19.85

Step-by-step explanation:

Our task is to find the third side of this right triangle. To do that, we'll apply the Pythagorean theorem:

[tex]\mapsto\quad\sf a^2+b^2=c^2[/tex]

where c is the hypotenuse (it's what we're looking for)

Substitute the values:

  • [tex]\sf 13^2+15^2=c^2[/tex]
  • [tex]\sf394=c^2[/tex]
  • [tex]\sf c=19.8\:cm[/tex]    Answer