Question

Assume the two right triangles are proportional. What’s the value of x? Show your work?

Answer 1

We are given two proportional triangles and we are asked to determine the value of side "x".

Since the triangles are proportional we have that the ratio between corresponding sides is the same, therefore, we can set the ratios between the given sides equal:

`(x)/(4)=(15)/(10)`

Now, we can solve for "x". To do that we will multiply both sides by 4:

`4*(x)/(4)=4*(15)/(10)`

Now, we can cancel out the 4 on the left side and we solve the operations on the right side:

`\begin{gathered} x=(60)/(10) \\ \\ x=6 \end{gathered}`

Therefore, the value of "x" is 6.