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Find the length of the third side. If necessary, write in simplest radical
form.
8
17


Sagot :

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

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