Find the unknown length y in the pair of similar triangles.30 ft8 ft18 ftyy=ft(Simplify your answer. Type an integer, fraction, or a mixed number.)

Find the unknown length y in the pair of similar triangles30 ft8 ft18 ftyyftSimplify your answer Type an integer fraction or a mixed number class=

Respuesta :

Given the figure of two similar triangles

So, the corresponding sides are proportions

So, we can write the following ratio:

[tex]\frac{y}{8}=\frac{18}{30}[/tex]

Solve for y using the cross product:

[tex]y=\frac{8*18}{30}=\frac{144}{30}=4\frac{4}{5}[/tex]

So, the answer will be y = 4 4/5