Answer:
a) Either [tex]\frac{24}{9} = \frac{x}{1}[/tex] or [tex]\frac{32}{12} = \frac{x}{1}[/tex]
b) x = 2.667
Step-by-step explanation:
Given - These are two similar triangles.
To find - (a) Which proportion could be used to solve for x?
(b) Now, solve that proportion.
Solution -
Given that,
a.)
The triangle are similar , so corresponding sides proportion is equal
i.e.
[tex]\frac{24}{9} = \frac{32}{12} = \frac{x}{1}[/tex]
So,
we can use any proportion for solving x
Either [tex]\frac{24}{9} = \frac{x}{1}[/tex] or [tex]\frac{32}{12} = \frac{x}{1}[/tex]
b.)
Now,
If we take
[tex]\frac{24}{9} = \frac{x}{1}[/tex]
∴ we get
x = 2.667
And
If we take
[tex]\frac{32}{12} = \frac{x}{1}[/tex]
∴ we get
x = 2.667
So,
we have from both proportion
x = 2.667
