Question

Triangle ABC is similar triangle DEF. Find the necessary of side FD. Round your answer to the nearest tenth

Answer 1

SOLUTION

Step 1 :

In this question, we are given that :

Triangle ABC is similar to Triangle DEF.

We are meant to find the necessary of side FD.

Step 2 :

Using the principles of Similar Triangles, we have that:

$\frac{FD}{CA}\text{ = }\frac{EF}{BC}$

where:

$\begin{gathered} FD\text{ = ?} \\ CA\text{ = 49} \\ EF\text{ = 5} \\ BC\text{ = 23} \end{gathered}$$\frac{FD}{49}\text{ = }\frac{5}{23}$

Cross- multiply, we have that:

$\begin{gathered} FD\text{ = }\frac{49\text{ X 5}}{23} \\ FD\text{ = }\frac{245}{23} \\ FD\text{ = 10. 65 } \\ FD\text{ = 10. 7 ( to the nearest tenth)} \end{gathered}$

CONCLUSION:

The length of FD = 10. 7 ( to the nearest tenth).