The problemTo asks find the scale factor of Figure for B the to ** Figurescale A, factor of Figure B we to compare Figure the corresponding side A lengths**, given that of the the two similar triangles are triangles.

similar.### Step To 1 solve: this, Identify we compare corresponding side lengths the corresponding sides of- Triangle A the triangles has side.

lengths### Correspond: ing27 sides: ,- The longest 48 side, of and A (6060. -) corresponds Triangle to the longest side B has side lengths of B: ** (209, 16, and 20**.

Step ).

2: Calculate the scale factor The scale factor from Figure B to Figure A- Another pair of is found sides is $48$ ( byA) and $16$ (B).

• dividing The final a side length pair is $of27$ (A Figure) and $9$ B ( by the correspondingB).

Scale factor:

The scale factor is determined by side length of Figure A. Since the dividing triangles are any similar side, of the scale factor will be Figure the B by the same corresponding side of Figure for all pairs of A:

corresponding sides.

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20 }{ - For60} = the \ medium sides:frac
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: 1###. Conclusion What: The scale factor of are the properties of similar triangles ,Figure and B to Figure how do A they is ** relate( \frac to scale{ factors1? }{23.} How \ can)** the.

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factorWould be you used like to further calculate details missing or sides of one clarification triangle if?

the### other Related is known Questions? : 31.. What Can is scale factors be applied the meaning in of similarity three in-dimensional figures? geometric figures? How2? . How4. What does the scale factor affect the happens to areas the area ratio of of two similar figures similar triangles? when you3. know Can the you scale determine factor? the perimeter ratio5 of. two similar triangles How can using you the scale use proportions to factor? 4 check if two. What would figures be the scale factor if the question were are reversed similar?

(ATip: Always double-check all pairs of to corresponding sides B to)? ensure5. the scale How factor can is you consistent use when proportions working with to confirm similar similarity triangles.?

Tip:

Always match corresponding sides carefully in similar figures to avoid errors in scale factor calculations.