Question

The length of the hypotenuse is??

Answer 1

Answer: 14.32

Step-by-step explanation:

To find the length of the hypotenuse, we need to use the Pythagorean Theorem.

Pythagorean Theorem: a²+b²=c²

Since we are given the legs, we can plug them in to find c.

$6^2+13^2=c^2$           [exponent]

$36+169=c^2$           [add]

$205=c^2$                   [square root both sides]

$c=\sqrt{205}$

$c=14.32$

The hypotenuse is approximately 14.32.

Answer 2

Answer:

$x = 14.31$

Step-by-step explanation:

According to PYTHAGORAS Theorem,

let the Hypotenuse be x

${6}^{2} + {13}^{2} = {x}^{2} \\ 36 + 169 = {x}^{2} \\ 205 = {x}^{2} \\ \sqrt{205} = x \\ x = 14.31$