Question

Solve for x. The triangles in each pair are similar please questions number 13

Answer 1

x = 8

Step-by-step explanation:

Two triangles are similar if the length of their sides is proportional, so we can write the following equation to find x:

`\begin{gathered} (SU)/(SR)=(ST)/(SQ) \\ (x+4)/(4)=(6)/(2) \end{gathered}`

So, we can solve for x:

`\begin{gathered} (x+4)/(4)=3 \\ (x+4)/(4)\cdot4=3\cdot4 \\ x+4=12 \\ x+4-4=12-4 \\ x=8 \end{gathered}`

Therefore, the answer is x = 8.