We can find the value of x by applying the similar triangles rule. The rule states that:
When two triangles are similar, their corresponding sides are in proportion.
We can see that:
side of length 2.4 is proportional to the side of length 3
side of length 2.8 is proportional to the side of length x
Hence, we can write:
[tex]\frac{2.4}{3}\text{ =}\frac{2.8}{x}[/tex]
Cross-Multiply:
[tex]\begin{gathered} x\text{ }\times\text{ 2.4 = 3 }\times\text{ 2.8} \\ \text{Divide both sides by 2.4} \\ \frac{2.4x}{2.4}\text{ = }\frac{8.4}{2.4} \\ x\text{ = 3.5} \end{gathered}[/tex]
Answer:
3.5 (Option B)
