Question

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

form.
8
17

Answer 1

Explanation:

To make the use of Pythagoras's theorem clear

`C^(2)` =
`A^(2)` +
`B^(2)`

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 =
`√(17)`

then

`C^(2)` =
`8^(2)` +
`√(17) ^(2)`

`C^(2)` = 64 + 17

`C^(2)` = 81

C =
`√(81)`

C = 9

Answer 2

9

Explanation:

so we know that its a right triangle and 8 and
`√(17)` are not the hypotenuse.

the equation for this is
`a^(2)`+
`b^(2)`=
`c^(2)` with c being the hypotenuse.

`8^(2)`+
`√(17) ^(2)`=
`c^(2)`

64+17=
`c^(2)`

81=c

`√(81)`=c

9=c