Find x. This is the information that is given.

4 sqrt(3) = x

Step-by-step explanation:

We have similar triangles

The ratios of the sides have to be in proportion

The large triangle has sides x and hypotenuse 12

The small triangle has side 4 and hypotenuse x

We can write the ratio of sides to hypotenuse

x          4

=

12         x

Using cross products

12*4 = x^2

48 = x^2

Taking the square root

sqrt(48) = sqrt(x^2)

sqrt(3*16) = x

sqrt(16) sqrt(3) = x

4 sqrt(3) = x

Option 1

Step-by-step explanation:

x is the hypotenuse of the smallest triangle and a base for the biggest one

Use similar figures:

x/12 = 4/x

x² = 12×4

x² = 48

x = sqrt(48)

x = 4sqrt(3)

sqrt: square root

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