Question

AABC ~ AQRSFind the missing side length, n.RB6nAС2Q'S5n = [?]Enter

Answer 1

Given:

Triangle ABC is similar to triangle QRS

Using the concept of similarity of triangles:

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, we can write:

`\begin{gathered} (6)/(n)\text{ = }(2)/(5) \\ \text{Cross}-\text{Multiply} \\ n\text{ }*\text{ 2 = 6 }*5 \\ \text{Divide both sides by 2} \\ n\text{ = }(6*5)/(2) \\ n\text{ = 15} \end{gathered}`

Answer:

n = 15