Question

Find the length of the third side if necessary right in the simplest radical form

Answer 1

Answer:
`√(89)`

Explanation:

opposite=8

Adjacent=5

Hypotenuse= ?

Using pythagoras theorem,

`Hyp^(2) = Opp^(2) + adj^(2)`

`Hyp^(2)`=
`8^(2) +5^(2)`

`Hyp^(2)`=64 +25

`Hyp^(2) =89`

Take the square root of both sides.Square and square root will cancel out leaving Hypotenuse

Hyp=
`√(89)`

Answer 2

√89

Explanation:

The Pythagorean theorem relates the measures of sides in a right triangle. For legs 'a' and 'b' and hypotenuse 'c', it tells you ...

c² = a² +b²

c² = 5² +8² = 25 +64 = 89

c = √89 . . . . the length of the third side