Question

Find x.
Help?...............

Answer 1

x = 6

Explanation:

For this, we simply can use similar triangles to build proportions to find the value of x.

The base of one triangle is 4 with a hypotenuse of x.

The base of the second triangle is x with a hypotenuse of 4+5.

Hence, we can build this proportion:

x/9 = 4/x

Now we solve for x in this proportion:

x/9 = 4/x

x * x = 9 * 4

x^2 = 36

x = 6

Now we know the value of x=6.

Cheers.