Question

The ABC Toy Company is creating two similar pieces for a board game, as shown below. Find the value of x that makes the two pieces similar.
Triangle ABC is shown with sides AB marked as 6, BC marked as 7, and AC marked as y. Triangle DEF is shown with sides DE marked

Answer 1

Using proportions, the value of x that makes the triangle similar is of x = 14.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we want the triangles to be similar, hence the lengths of it's sides follow the proportion given next:

$\frac{6}{12} = \frac{7}{x}$

Applying cross multiplication:

6x = 12 x 7

x = 2 x 7

x = 14.

The value of x that makes the triangle similar is of x = 14.

More can be learned about proportions at brainly.com/question/24372153

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