The area of triangle $$ A $$ is 108 and triangle $$ B $$ is 300 . What is the scale factor of $$ A $$ to $$ B $$ ? Select one: a. $$ 25: 9 $$ b. $$ 5: 3 $$ c. $$ 9: 25 $$ d. $$ 3: 5 $$

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1. Given the areas $$ A_A = 108 $$ and $$ A_B = 300 $$, compute the ratio of the areas:

$$
   \frac{A_A}{A_B} = \frac{108}{300} = \frac{9}{25}
   $$

2. The area ratio of similar triangles is the square of their scale factor. Let the scale factor (ratio of corresponding sides) be $$ k $$. Then:

$$
   k^2 = \frac{9}{25}
   $$

3. Solve for $$ k $$ by taking the square root of both sides:

$$
   k = \sqrt{\frac{9}{25}} = \frac{3}{5}
   $$

4. Thus, the scale factor of triangle $$ A $$ to triangle $$ B $$ is $$ \frac{3}{5} $$, which corresponds to the ratio $$ 3:5 $$.

d. $$ 3: 5 $$
The scale factor of triangle $$ A $$ to triangle $$ B $$ is $$ 3:5 $$.

The area of triangle is 108 and triangle is 300 . What is the scale factor of to ?
Select one:
a.
b.
c.
d.

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The area of triangle is 108 and triangle is 300 . What is the scale factor of to ? Select one: a. b. c. d.