Question

Find the value of x in the triangle shown below.

Answer 1

x=4 because it makes up a square and all sides are the same length on a square

Answer 2

b =
`2√(5)` = 4.47

Explanation:

The Pythagorean Theorem is
`a^(2)+b^(2) = c^(2)`

Let's say a= 2, b= x, and c = 4

Since we need to find the value of x, we will rearrange our equation

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

Now, we substitute plug in the numbers for the values

`(2)^(2) + (4)^(2) = b^(2)`

Then, find
`(2)^(2)` and
`(4)^(2)`

`(2)^(2) = 4`

`(4)^(2) = 16`

4 + 16 =
`b^(2)`

Add 4 and 16

4 + 16 = 20

20 =
`b^(2)`

We still need to find what b is by itself, we need to get rid of the exponent.

So, we need to take the square root of both sides.

`√(20) = √(b)`

`√(20) = 2√(5)`

b =
`2√(5)` = 4.47

And that would be your answer