Find x. This is the information that is given.
2 answers:
Answer:
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
Answer:
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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