Question

Sam plans to use two flags on his float for the parade. Each flag is a nght triangle and the triangles are similar. What is the width, x, of the larger flag in feet? O 1.25 ft O 4 ft O 5 ft O 6.25 ft

Answer 1

Since it is about similar triangles then you know that

$\frac{r}{a}=\frac{q}{b}=\frac{p}{c}$

So, in this case, you have

$\frac{5}{4}=\frac{x}{5}$

And solve for x by multiplying by 5 on both sides of the equation

$\begin{gathered} \frac{5}{4}=\frac{x}{5} \\ \frac{5}{4}\cdot5=\frac{x}{5}\cdot5 \\ \frac{25}{4}=x \\ 6.25=x \end{gathered}$

Therefore, the width of the largest flag is 6.25ft.