Question

Find the value of x for each following

Answer 1

x = 8

Explanation:

You can solve this using the Pythagorean Theorem, which is:

`a^2+b^2=c^2`

a and b are the two legs of a right triangle, and c is the hypotenuse.

Because the hypotenuse and one leg are given, we need to find the the other leg. Let's say that leg is a.

`a^2+b^2=c^2`

Subtract
`b^2` to isolate
`a^2\\`.

`a^2 = c^2 - b^2\\`

Now, we can plug in the values that have been given to you.

`x^2 = 100^2 - 6^2`

`x^2 = 100 - 36`

`x^2 = 64`

`x^2 = √(64)`

`x=8`

Answer 2

x = 8

Explanation:

To solve for x, you use the Pythagoras Theorem. ==> a² + b² = c², where a and b are the side lengths and c is the hypotenuse

x² + 6² = 10²

Rearrange to make x on its own

x² = 10² - 6²

x² = 100 - 36

x² = 64

x = ±√64

x = ±8

Length can't be a negative hence, x must equal 8