Question

The following is true about similar triangles DOT and ANG. DO AN OT NG DT AG 3 3 1 Which could be the length of DT and AG?

Answer 1

Answer:

DT=6 and AG=2

C

Explanation:

Given that the Triangle DOT and ANG are similar.

The ratio of their corresponding sides will be equal;

$\frac{DO}{AN}=\frac{OT}{NG}=\frac{DT}{AG}=\frac{3}{1}$

So, according to the given ratio, the ratio of the corresponding sides of triangle DOT to ANG is equal to 3/1.

From the given options, the correct option is the one whose ratio is equal to 3/1;

$\frac{DT}{AG}=\frac{3}{1}$$\begin{gathered} A\text{.} \\ \frac{9}{6}\ne\frac{3}{1} \end{gathered}$$\begin{gathered} B\text{.} \\ \frac{6}{4}\ne\frac{3}{1} \end{gathered}$$\begin{gathered} C\text{.} \\ \frac{6}{2}=\frac{3}{1} \end{gathered}$$\begin{gathered} D\text{.} \\ \frac{9}{4}\ne\frac{3}{1} \end{gathered}$

Therefore, the only option whose ratio of side DT to AG is equal to 3/1 is C;

DT=6 and AG=2