What is the value of X?

Answer:

Step-by-step 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!

Answer:

8

Step-by-step 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 [tex]a^{2}+ b^{2}=c^{2}[/tex]

That means:

[tex]a^{2} = c^{2} - b^{2}[/tex]

Now we plug in the numbers

[tex]x^{2} = 10^{2} - 6^{2}[/tex]

[tex]x^{2} = 100 - 36[/tex]

[tex]x^{2} = 64[/tex]

[tex]x=\sqrt{64}[/tex]

[tex]x=8[/tex]

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

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