Question

I need help with a geometry problem, but I cannot type it out i will need to send a picture of it

Answer 1

From the triangle given, we are required to solve for x and y.

Since they are similar triangles, let's find x and y below.

For x:

`(5)/(8)=(5+x)/(10)`

Let's find x, from the equation above.

Cross multiply:

`\begin{gathered} 8(5+x)=10(5) \\ \\ 40+8x=50 \\ \\ \text{Subtract 40 from both sides:} \\ 40-40+8x=50-40 \\ \\ 8x=10 \end{gathered}`

Divide both sides by 8:

`\begin{gathered} (8x)/(8)=(10)/(8) \\ \\ x=1.25 \end{gathered}`

For y:

`\begin{gathered} (7)/(8)=(7+y)/(10) \\ \\ 8(7+y)=7(10) \\ \\ 56+8y=70 \\ \\ 8y=70-56 \\ \\ 8y=14 \\ \\ (8y)/(8)=(14)/(8) \\ \\ y=1.75 \end{gathered}`

ANSWER:

x = 1.25, y = 1.75