Question

Pythagorean Theorem with Known Legs

Answer 1

Answer:

$\sqrt{97$

Step-by-step 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

=    $\sqrt{97}$

Hope it helped!

Answer 2

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

$\boldsymbol{c=\sqrt{97}}$

Hope the answer - and explanation - made sense,

happy studying!!