Finding the Unknown Length in a Triangle Proportion

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.