Question

The triangles are similar. Find x.A. 1.6B. 3.5C. 3.6D. 2.24

Answer 1

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:

`(2.4)/(3)\text{ =}(2.8)/(x)`

Cross-Multiply:

`\begin{gathered} x\text{ }*\text{ 2.4 = 3 }*\text{ 2.8} \\ \text{Divide both sides by 2.4} \\ (2.4x)/(2.4)\text{ = }(8.4)/(2.4) \\ x\text{ = 3.5} \end{gathered}`

Answer:

3.5 (Option B)