Question

Find missing length triangle 15 14 4

Answer 1

Step-by-step explanation:

The triangles are similar triangles.

The ratio of corresponding sides are equal.

let the unknown side = x

14/(15+x) = (14-4)/15

14/(15+x) = 10/15

`\begin{gathered} (14)/(\mleft(15+x\mright))=(10)/(15) \\ \text{cross multiply:} \\ 14(15)=\text{ }10\mleft(15+x\mright) \end{gathered}`
`\begin{gathered} 210\text{ = 150 + 10x} \\ 210\text{ - 150 = 10x} \\ 60\text{ = 10x} \end{gathered}`