Question

What Is The Value Of X?

Answer 1

Answer: 7 cm

Explanation:

You know the lenght of one of the sides of the smaller triangle.

You also know the lengths of two sides of the larger triangle.

You can see that a corresponding angle is equal

Therefore, by similarity, you can write the expression shown below:

`(36cm)/(42cm)=(6cm)/(x)`

Now you must solve for x.

Therefore, you obtain that the value of x is the shown below:

`x((36cm)/(42cm))=6cm\\\\x=(6cm*42cm)/(36cm)\\\\x=7cm`