Question

The length of the hypotenuse is??

Answer 1

Answer: 14.32

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=√(205)`

`c=14.32`

The hypotenuse is approximately 14.32.

Answer 2

`x = 14.31`

Explanation:

According to PYTHAGORAS Theorem,

let the Hypotenuse be x

`{6}^(2) + {13}^(2) = {x}^(2) \\ 36 + 169 = {x}^(2) \\ 205 = {x}^(2) \\ √(205) = x \\ x = 14.31`