OpenStudy (anonymous):
triangle ABC is similar to triangle XYZ. If AB=4, and XY=10 and the area of triangle ABC is 7.8 units squared, find the area of triangle XYZ

Question

Hero · Answer

$\triangle ABC \sim \triangle XYZ$ implies that $\overline{AB}$ corresponds to $\overline{XY}$, $\overline{BC}$ corresponds to $\overline{YZ}$, and $\overline{AC}$ corresponds to $\overline{XZ}$.

Isayruiz · Answer

What's the answer can u help me

Hero · Answer

Anyway, knowing that allows us to setup the following proportion:

$\dfrac{AB}{\text{area of }{ABC}} = \dfrac{XY}{\text{area of }{XYZ}}$

Hero · Answer

Plug-in the given information to the proportion and solve.

Isayruiz · Answer

I don't know how to do it sadly I'm sorry

Hero · Answer

when you plug in the given information you'll end up with:

$\dfrac{4}{7.8} = \dfrac{10}{x}$ where $x$ represents the area of $\triangle{XYZ}$

Isayruiz · Answer

19.5?

Hero · Answer

Correct. The area of $\triangle{XYZ}$ is 19.5 square units.

Isayruiz · Answer

Thank u

Hero · Answer

You're most welcome.

Hero · Answer

@KittyNoir

Isayruiz · Answer

One more

Hero · Answer

You'll have to close this question first and re-post your question as a new question.