Question

For the similar triangle below, set up a proportion and find the unknown

Answer 1

Answer: h = 8

Using the similar triangle theorem

6 = 3

h = 4

`\begin{gathered} (6)/(3)\text{ = }(h)/(4) \\ \text{Introduce cross multiply} \\ 6\text{ x 4 = h x }3 \\ 24\text{ = 3h} \\ \text{Divide both sides by }3 \\ (24)/(3)\text{ = }(3h)/(3) \\ h\text{ = 8} \end{gathered}`

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