Question

Please help with this

Answer 1

Explanation:

by using Pythagoras theorem you can find the answer

`{a}^(2) + {b }^(2) = {c}^(2) \\ {9 }^(2) + {x}^(2) = {24 }^(2) \\ 81 + {x}^(2) = 576 \\ {x }^(2) = 576 - 81 \\ {x }^(2) = 495 \\ \sqrt{ {x}^(2) } = √(495 ) \\ x = 22.2485954613`

Answer 2

3√55

Explanation:

Because this is a right triangle we can use Pythagorean theorem to find the missing side length. Pythagorean theorem states the a^2 + b^2 = c^2 where c is the hypotenuse and a and b are the other two sides. In this case 24 is the hypotenuse

x^2 + 9^2 = 24^2

x^2 + 81 = 576

Subtract 81 from both sides to isolate the x

x^2 = 495

Find the square root of both sides

√x^2 =√495

Now factor √495 to simplify

x = √3· 3 · 5 · 11

There is a pair of 3's so we move them to the outside of the radical

x = 3√5·11

x = 3√55