Question

AABC and AXYZ are similar triangles. The lengths of two sides of each triangle are shown. Find the lengths of the thiside of each triangle.A6.5X3.6B5.2YZCProvide your answer below:MORE INSTRUCTIONayFEEDBACK4.5SUBMIT

Answer 1

Since the triangles are similar this means that the ratios between similar sides have to be equal; this means that:

`\begin{gathered} (6.5)/(3.6)=(5.2)/(y) \\ (6.5)/(3.6)=(a)/(4.5) \end{gathered}`

Solving the first equation we have:

`\begin{gathered} (6.5)/(3.6)=(5.2)/(y) \\ y=(5.2)/((6.5)/(3.6)) \\ y=2.88 \end{gathered}`

Solving the second equation:

`\begin{gathered} (a)/(4.5)=(6.5)/(3.6) \\ a=4.5((6.5)/(3.6)) \\ a=8.125 \end{gathered}`

Therefore, a=8.125 and y=2.88