Question

If AHBN - ALYR, find the value of x.BRx +1128YL21NH3x - 7A. O 7.4B.06C.13.3D.13

Answer 1

`x\text{ = 13}`

Here, we want to find the value of x

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

Thus, we have it that;

`\begin{gathered} (HN)/(BH)\text{ = }(LY)/(RL) \\ \\ (3x-7)/(28)\text{ = }(x+11)/(21) \\ \\ 21(3x-7)\text{ = 28(x+11)} \\ 63x-147=\text{ 28x+ 308} \\ 63x-28x\text{ = 308+147} \\ \\ 35x\text{ = 455} \\ x\text{ = }(455)/(35) \\ x\text{ = 13} \end{gathered}`