Question

Find the value of x. I have attached a photo.

Answer 1

Given:

Length of sides of smaller triangle = 4 and x

Lengths of larger sides = 10 and 25

Let's solve for the value of x.

Since both triangles are similar, the corresponding sides will be proportional.

To solve for x, apply the proportionality equation:

`(10)/(4)=(25)/(x)`

Cross multiply:

`\begin{gathered} 10x=25*4 \\ \\ 10x=100 \\ \\ \text{ Divide both sides by 10:} \\ (10x)/(10)=(100)/(10) \\ \\ x=10 \end{gathered}`

Therefore, the value of x is 10.