Question

Pythagorean Theorem with Known Legs

Answer 1

Hi, there!

_______

The key here is to use Pythagoras' Theorem (Below)

`\boldsymbol{a^2+b^2=c^2}`

Here,

`\textsc{legs}\begin{cases}\bold{a}\\\bold{b}\end{cases}`

Hypotenuse (longest side) c

»Substitute the parameters

`\boldsymbol{4^2+9^2=c^2}`

`\boldsymbol{16+81=c^2}`

`\boldsymbol{97=c^2}`

»Square root both sides

`\boldsymbol{c=√(97)}`

Hope the answer - and explanation - made sense,

happy studying!!

Answer 2

`\sqrt{97`

Explanation:

The Pythagorean Theorem states that if you square the two legs and take the square root of the two legs, then you get the hypotenuse.

9^2+4^2

=81+16

=97

=
`√(97)`

Hope it helped!