Answer: h = 8
Using the similar triangle theorem
6 = 3
h = 4
[tex]\begin{gathered} \frac{6}{3}\text{ = }\frac{h}{4} \\ \text{Introduce cross multiply} \\ 6\text{ x 4 = h x }3 \\ 24\text{ = 3h} \\ \text{Divide both sides by }3 \\ \frac{24}{3}\text{ = }\frac{3h}{3} \\ h\text{ = 8} \end{gathered}[/tex]Let me use a diagram to illustrate
From the above figure, you will observed that both 3 and 6 are slantted which make it look similar, and also h and 4 are similar too
Since, they are both similar
6 = 3
h = 4
Therefore, you can introduce cross multiply
