Question

Find the value of x for each following

Answer 1

Answer:

x = 8

Step-by-step 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

Answer 2

Answer:

x = 8

Step-by-step 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.

$x^2 = 100^2 - 6^2$

$x^2 = 100 - 36$

$x^2 = 64$

$x^2 = \sqrt{64}$

$x=8$