Question

What is the value of X?

Answer 1

8

Explanation:

Hi!

So there are two ways to do this, the second way is the easier way

First way:

We can use the Pythagorean Theorem.

If
`a^(2)+ b^(2)=c^(2)`

That means:

`a^(2) = c^(2) - b^(2)`

Now we plug in the numbers

`x^(2) = 10^(2) - 6^(2)`

`x^(2) = 100 - 36`

`x^(2) = 64`

`x=√(64)`

`x=8`

Second way:

We can use Pythagorean Triplets

We can use the 3,4,5 triplet

We can also put this in a ratio to help you visualize this

3y:4y:5y

Over here, you'll notice that if you make y = 2, then you get this

3(2):4(2):5(2)

Simplify

6:8:10

Well, 6 and 10 are given in this problem so that means that x has to be 8

Let me know if you have any questions

Answer 2

Explanation:

Since this is a test, I'll give a hint:

To find a missing side, you would ussualy use the pythagoream theory, which is not only a pain to write, but pretty easy!

The formula is a^2+b^2=c^2

a and b are the "legs" (the shorter sides) and c is the hypotonus(the longest side).

In this case a=x, and b=6. C=10.

Just input a, b, and c into the equation, and if you have a fairly basic grasph on pre-algebra, then you should be able to solve this.

Hope this helps!