This proportion can be solved to find the unknown length, x, in the smaller triangle.
12 4 = 6 x
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Question & Answer
Finding the Unknown Length in a Proportional Triangle Similarity Problem
1 Answer
Verified archiveTo solve the proportion ( frac{12}{4} = frac{6}{x} ), we can cross-multiply.
1. Cross-multiply: ( 12 cdot x = 4 cdot 6 ).
2. This gives us: ( 12x = 24 ).
3. To find ( x ), divide both sides by 12:
[
x = frac{24}{12} = 2.
]
So, ( x = 2 ).
This solution means that in the smaller triangle, the unknown length ( x ) is 2, maintaining the same ratio as the given sides of the triangles.
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