Answer:
5) we get a=6
6) we get c=8
Step-by-step explanation:
The triangles given are similar.
When the triangles are similar, the ratio of corresponding sides are also similar.
5) If c = 12, find a
We will use the ratio
[tex]\frac{30}{12}=\frac{15}{a}[/tex]
Now cross multiply to find value of a
[tex]30*a=12*15\\a=\frac{180}{30}\\a=6\\[/tex]
So, we get a=6
6. If b = 6.4, find c
We will use the ratio
[tex]\frac{30}{c}=\frac{24}{6.4}[/tex]
Now cross multiply to find value of b
[tex]30*6.4=24*c\\c=\frac{192}{24}\\c=8\\[/tex]
So, we get c=8
