Respuesta :
Answer:
If the third side is the hypotenuse, then (using the Pythagorean Theorem) the square of its length is the sum of the squares of the other two sides: 132+52 , so the length of the hypotenuse is √194=13.92838827718412...
However, it is also possible to have a right triangle with a hypotenuse of 13 cm and one side of 5 cm, in which case the third side would be: √132−542=12.
Of course, the second answer may seem “nicer” but both are correct and the question is ambiguous.
Answer:
Lenght of the third side =12
Step-by-step explanation:
[tex]hypotenuse = 13 \\ opposite = 5 \\ adjacent = x \\ {hyp}^{2} = {opp}^{2} + {adj}^{2} \\ [/tex]
[tex]{13}^{2} = {5}^{2} + {x}^{2} \\ 169 = 25 + {x}^{2} \\ 169 - 25 = {x}^{2} \\ 144 = {x}^{2} [/tex]
[tex] \sqrt{144} = \sqrt{ {x}^{2} } \\ 12 = x[/tex]
