Question

Find the value of x that makes triangle DEF - XYZ

Answer 1

The value of x that makes the two triangles similar is 4

Here, we want to find the value of x that makes the two triangles similar

Mathematically, if two triangles are similar, the ratios of their corresponding sides are equal

We have it that;

`\begin{gathered} (DE)/(EF)\text{ = }(XY)/(YZ) \\ \\ (5)/(2x-1)\text{ = }(10)/(14) \\ \\ 14(5)\text{ = 10(2x-1)} \\ \\ 70\text{ = 20x - 10} \\ 70\text{ + 10 = 20x} \\ 20x\text{ = 80} \\ \text{ x= }(80)/(20) \\ x\text{ = 4} \end{gathered}`