Question

16.XY find the xy please and thank you

Answer 1

`√(269)`
SIMPLIFIED/ROUNDED: 16.40

Explanation:

Use the Pythagorean Theorem to solve for a right triangle:
`a^(2) +b^(2) =c^(2)`
The legs are "a" and "b".
The hypotenuse (diagonal across from the right angle) is "c".
(In this case, the hypotenuse is XY.)

To start, fill in the values for the formula, then simplify.

`(13)^(2) +(10)^(2) =c^(2)`

`(169)+(100)=c^(2)`


`269=c^(2)`

Next, take the square root of each side.

`√(269) =\sqrt{c^(2) }`
Taking the square root of c^2 means that the square root and squared (^2) will cancel out, giving you:

`√(269) = c`

Using a calculator (likely the TI-30Xa, most schools use those), round
`√(269)` to the nearest tenth (or hundredth). This step isn't needed unless your teacher asks for that.


`√(269)` ≈ 16.40