Question

Find x.______________a0

Answer 1

`x=4`

Explanation:

Before we find x, we need to set up this triangle a little more. We need to find the triangle's altitude before we can solve for x. We will use the heartbeat method to find the altitude.

Let altitude = y; solve for y:

`(2)/(y)=(y)/(6)`

`y^2=12`

`y=√(12)`

`y=2√(3)`

Now that we know the altitude, we can use the Pythagorean Theorem to find the hypotenuse (x).

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

`2^2+(2√(3))^2=c^2`

`4+12=c^2`

`c^2=16`

`c=4`

Since c and x are the same; c is just the hypotenuse in the Pythagorean Theorem.

`x=4`