Question

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

Answer 1

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:

`(FD)/(CA)\text{ = }(EF)/(BC)`

where:

`\begin{gathered} FD\text{ = ?} \\ CA\text{ = 49} \\ EF\text{ = 5} \\ BC\text{ = 23} \end{gathered}`
`(FD)/(49)\text{ = }(5)/(23)`

Cross- multiply, we have that:

`\begin{gathered} FD\text{ = }\frac{49\text{ X 5}}{23} \\ FD\text{ = }(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).