Display case

Place a glass shelf at the height of 1m from the bottom of the display case in the cabinet. How long platter will we place at this height?

The display case is a rectangular triangle with 2 m and 2.5 m legs.

Correct result:

x =  1.2 m

Solution:

$$\begin{gathered} 2.5:2=(2.5-1):x \\ x=(2.5-1)\cdot {\displaystyle \frac{2}{2.5}}={\displaystyle \frac{6}{5}}={\displaystyle \frac{6}{5}}\text{ m}=1.2\text{ m} \end{gathered}$$

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