Respuesta :
Answer:
9
Step-by-step explanation:
so we know that its a right triangle and 8 and [tex]\sqrt{17}[/tex] are not the hypotenuse.
the equation for this is [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex] with c being the hypotenuse.
[tex]8^{2}[/tex]+[tex]\sqrt{17} ^{2}[/tex]=[tex]c^{2}[/tex]
64+17=[tex]c^{2}[/tex]
81=c
[tex]\sqrt{81}[/tex]=c
9=c
Answer:
Step-by-step explanation:
To make the use of Pythagoras's theorem clear
[tex]C^{2}[/tex] = [tex]A^{2}[/tex] + [tex]B^{2}[/tex]
where C is they hypotenuse or Hyp
A is one side often called the Adjacent side
B is the other side often called the Opposite side
when A = 8
and B = [tex]\sqrt{17}[/tex]
then
[tex]C^{2}[/tex] = [tex]8^{2}[/tex] + [tex]\sqrt{17} ^{2}[/tex]
[tex]C^{2}[/tex] = 64 + 17
[tex]C^{2}[/tex] = 81
C = [tex]\sqrt{81}[/tex]
C = 9
