This proportion can be solved to find the unknown length, x, in the smaller triangle. Use the drop-down menus to complete the solution below.
12 ← ___ × 6
4 ← ___ × __
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To solve for the unknown length ( x ) in the proportion, we can use the property of similar triangles where the ratios of corresponding sides are equal.
The proportion you have is set up as follows:
[
frac{12}{4} = frac{x}{6}
]
Now fill in the blanks:
– The first blank is ( 12 ) (as that corresponds to the larger triangle).
– The second blank is ( 4 ) (as that corresponds to the smaller triangle).
– The third blank is ( x ) (the unknown length we are solving for).
Now we can set up the equation:
[
frac{12}{4} = frac{x}{6}
]
To solve for ( x ), we can cross-multiply:
[
12 times 6 = 4 times x
]
[
72 = 4x
]
Now divide both sides by 4:
[
x = frac{72}{4} = 18
]
So, the solution completes with ( x = 18 ). To summarize:
– ( 12 leftarrow 12 times 6 )
– ( 4 leftarrow 4 times x )
This gives you the complete answer to the problem! If you have more questions or need further help, feel free to ask.